Explanation:

- The relationship between the numbers in the given set (11, 165, 209) is sequential and involves multiples and addition.

- Multiply 11 by a number to get 165: \(11 \times 15 = 165\).

- Add a number to get 209: \(165 + 44 = 209\).

- Option 1: (14, 210, 276)

- Calculate \(14 \times 15 = 210\).

- Calculate \(210 + 66 = 276\).

- The additional number is not the same as in the original set.

- Option 2: (17, 245, 323)

- Calculate \(17 \times 15 = 255\).

- The initial calculation fails to match 245, and thus doesn't continue.

- Option 3: (12, 180, 228)

- Multiply \(12 \times 15 = 180\).

- Add \(180 + 48 = 228\).

- This mimics the pattern of the original set.

- Option 4: (15, 225, 275)

- Calculate \(15 \times 15 = 225\).

- Calculate \(225 + 50 = 275\).

- The additional number doesn't match the pattern precisely.

Option 3 is correct as it follows the same pattern of multiplication and addition as the given set.

Option 3: (12, 180, 228)