Rohit slowly grew in confidence and struck Faulkner for three fours in the ninth over to pep up the run rate.
The second wicket duo of Rohit and Kohli had added 40 runs with the former looking in good touch before he threw away his wicket by top-edging in an attempted slash to stop-gap wicketkeeper Hughes who took a good catch. The Mumbai batsman hit six fours in his 47-ball knock.
Rohit's dismissal brought in Raina together with Kohli, but the run-rate dipped. It needed some aggressive batting from the young duo and Kohli set the tone by striking successive fours off part-time spinner Voges while Raina, who scratched around till then, stepped out and lofted Doherty over the straight field for his first six.
The duo's half century stand brought India back on track in the run-chase. But the dismissals in quick succession of Raina and Yuvraj Singh (7) for the addition of just five runs pushed India on the backfoot again.
Kohli, who reached his fifty in 64 balls, was trapped leg before at the team score of 166 by Watson. After a brief partnership of 26 runs for the sixth wicket, Jadeja was caught brilliantly at mid on by Australian skipper Bailey.
Then Dhoni lost his off stump to McKay in the 41st over at 196 to signal the end.