I would disagree with the target given by you (250). IMO, even 180 will be enough, if the Indian bowlers do their job. 200-220 would give the Indians a definite advantage. We all saw how the New Zealand batsmen struggled against the Indian pace triad during their first innings (Mohammad Shami / Umesh Yadav / Jasprit Bumrah)... And the 4th innings is going to be even tougher.
180 is too much to get with just 4 wickets in hand and bowlers left to come. And if by any change they manage in getting 180, it means NZ would have to chase 187 runs which would be too easy. India would have to get 240 runs atleast to win (means with 4 wickets they would need to make 150 runs) but now it's out of question. NZ is just a day away from winning the series unless the match is delayed due to rain or bad lighting. India's lower order batsmen are not capable like NZ's bowlers to even make 50 runs as of now.