Resuming at 227 for eight, India added 36 runs to their overnight total before being bowled out for 263.
Opener Tom Latham (74) and Luke Ronchi (9) were at the crease for the visitors, who require another 241 runs.
Brief Scores:
India: 316 and 263 all out in 76.5 overs (Rohit Sharma 82, Wriddhiman Saha 58 not out Virat Kohli 45; Matt Henry 3/59, Trent Boult 3/38 Mitchell Santner 3/59).
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