Explanation:

Let’s break it down step by step:

- 17 : 189

Take 17, multiply by 11, you get 187. But that’s not quite it.

Try squaring 17: 17² = 289. Not matching.

How about 17 × (17 + 1) = 17 × 18 = 306. Still off.

But wait: 189 / 17 ˜ 11.118. Not perfect.

Let’s try 17 × 11 + 2 = 189. Bingo.

- 13 : 69

Now, 13 × 5 + 4 = 69.

- The jump in logic here is unclear. Let’s check another pattern:

Maybe 17 × (some number) + (small number) = 189

So: 189 - 17 = 172. 172 / 17 = 10.117. No clean number.

- Try factor pairs—189 / 13 = 14.538. Nope.

So let's lay the pairs out:

- 17 : 189 (189 = 17 × 11 + 2)

- 13 : 69 (69 = 13 × 5 + 4)

If we try 18,

- Option 1: 224 ? 224 / 18 = 12.44

- Option 2: 241 ? 241 / 18 = 13.39

- Option 3: 214 ? 214 / 18 = 11.88

- Option 4: 242 ? 242 / 18 = 13.44

But let's check each option by squaring:

- 18² = 324

No option is close.

Let’s try 18 × (close integer) + (small number) to see if the logic fits.

From 17 : 189, difference is 172 (189-17),

From 13 : 69, difference is 56 (69-13).

Still, there’s no clear, consistent pattern.

But if you check the options, nothing fits a clear, unique formula from the first two pairs.

Here’s the thing—this is a tough pattern, but from logic, none of the options clearly matches anything used above.