Explanation:

Let’s break this down step by step:

- First, figure out the pattern in the original set:

(45, 37, 360)

(17, 14, 51)

- 45 - 37 = 8; 45 + 37 = 82; 45 × 37 = 1665; 45 ÷ 37 ˜ 1.216

None of these give 360 directly. Let's try multiplication and addition:

45 × 8 = 360 ? Here’s the kicker: the difference between the first two, then multiply it by the first number.

- Try this on the second set:

17 - 14 = 3

17 × 3 = 51 ?

Now, let's check the options the same way:

- Option 1: (35, 22, 465)

35 - 22 = 13

35 × 13 = 455 (not 465)

- Option 2: (34, 26, 272)

34 - 26 = 8

34 × 8 = 272 ?

- Option 3: (21, 17, 87)

21 - 17 = 4

21 × 4 = 84 (not 87)

- Option 4: (18, 10, 148)

18 - 10 = 8

18 × 8 = 144 (not 148)

To sum up:

- The rule is: first minus second, then multiply that result by the first number to get the third.

- Only Option 2 matches perfectly.

Option 2 (34, 26, 272) is the answer.