Powell was bowled driving loosely at an in-swinging yorker, and Best was caught at mid-wicket when he recklessly top-edged a pull at a shortish delivery.
Twice South Africa came close to denying Bravo.
First, they thought they had Washington caught behind off Monde Zondeki before he had scored, but twitchy umpire Billy Bowden ruled the ball had brushed the batsman's forearm.
Then, Bravo, on 94, stole the strike off the last ball of the same over, when he played a delivery from Zondeki straight to Dippenaar, who missed a chance to run out Washington at the wicketkeeper's end.
Next over, Bravo, to the delight of the crowd, reached his landmark, but substitute fielder Jacques Rudolph at mid-wicket again muffed a chance to bring the innings to a close when he failed to hold a chance from the West Indies all-rounder, on 101, off Dippenaar.
In the search for the breakthrough, Smith gave every player in the side a bowl, including wicketkeeper Mark Boucher, who finally claimed Bravo when he was caught at mid-off driving his 235th ball after batting for four-and-a-half hours.
It was the second time in the last four Tests at the Antigua Recreation Ground that a captain had used every player in his side to bowl.
Three years ago, India's Sourav Ganguly was the unfortunate captain in a West Indies first-innings total of 629 for nine declared.
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