It was no easy task, with both sides trading passages of pressure play and, at times, punches, as the heat of the match spilled over several times in the second half.
And it came despite injury scares on both sides of the interchange gate, with Jackson Trengove visiting the Power's rooms early and Chad Wingard twice looking tender.
Trengove played out the rest of the game after returning to the field and Wingard pushed through to win plenty of opportunity in front of goals playing as a small forward in dual stoic efforts.
The Eagles' Xavier Ellis was substituted early in the opening quarter, but that didn't faze the home side, which absorbed the Power's early goal run to deliver a 3-2 second quarter and claim the lead at the major break.
But the Power stood up at crucial moments, with the likes of Matthew Broadbent and Jared Polec cool under pressure in the second quarter as the Eagles pummeled the ball inside their attacking arc time and again to steer the visitors out of trouble.
Polec was instrumental in numerous plays and finished with a team-high 27 disposals, while Broadbent came away with seven rebounds.
There were contributors all over the ground when it counted, none more than Robbie Gray - the elusive mid-forward enjoying an ultra-efficient 24 touches - more than half contested - five clearances and four tackles.
His was one of the Power's best in the mid-game squeeze and the 2011 club leading goal kicker continues to produce career-best football for Port Adelaide.
Brad Ebert (two goals) and Matt White (one) won plenty of ball too, while Dom Cassisi, Matt Lobbe and Travis Boak put in workmanlike efforts.
While the Eagles finished on top of almost every key stat at the end of the night, it was the Power's ability to lift in the final 45 minutes that delivered the four points.
The signs are good for Port Adelaide, which finishes with a 4-1 record after five rounds - just one game in arrears of its best season start of five consecutive wins set under Ken Hinkley last year.
SCOREBOARD
PORT ADELAIDE 3.5 5.6 7.7 10.10 (70)
WEST COAST 2.5 5.8 6.12 7.14 (56)
Goals
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