Kohli struck another gritty half-century to remain unbeaten on 54 off 98 balls with seven fours and added 85 runs for the fourth wicket with Rahane (33 batting) after India were left struggling at 19 for three losing Shikhar Dhawan (0), Murali Vijay (11) and KL Rahul (1).
Earlier, Australia declared their second innings at 318 for 9 at lunch, taking a 383-run lead, thanks to Shaun Marsh's 99 off 215 balls with 11 fours and two sixes.
Much like in the first innings, Rahul played a poor shot to get out, this time pulling a wide rising delivery from Mitchell Johnson (1-24) as Shane Watson (0-10) ran back from first slip to complete the catch.
India were struggling at 5/2 and things could have been worse in the 5th over when Kohli (on 4*) could have been run-out as Vijay wasn't backing up and looking at the ball instead. His partner meanwhile had almost reached the non-striking end and only a poor throw from David Warner helped keep Kohli at the crease.
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