Select the option that is related to the third term in the same way as the second term is related to the first term.

7/50 : 9/82 :: 13/170 : ?

15/226

7/50 : 9/82 :: 13/170 : ?

The logic;

7/50

7/(\( {7 }^{ 2} \) + 1 ) 

49 +1= 50

9/82

9/(\( {9}^{ 2} \) + 1 ) 

81 +1= 82

13/170

13/(\( {13}^{ 2} \) + 1 ) 

169 +1= 170

And,

15/226

15/(\( {15}^{ 2} \) + 1 ) 

225 +1= 226

Thus, 15/226 is correct.