Explanation:

- Initial Setup: The initial ratio of milk to water is 4:5. Let's assume 4x liters of milk and 5x liters of water are present.

- Water Added: By adding 26 liters of water, resulting in a new water-to-milk ratio of 4:3, we calculate the following:

$$

\frac{5x + 26}{4x} = \frac{4}{3}

$$

Solving gives $x=6$. Thus, initial milk = 24 liters, and initial water = 30 liters.

- Milk to Water Ratio Change: When $K$ liters of milk is added, the desired ratio becomes 17:13:

$$

\frac{24 + K}{56} = \frac{17}{13}

$$

Solving this provides $K=198$.

- Conclusion and Answer:

- Add 198 liters of milk to achieve a 17:13 ratio of milk to water.

- The correct answer is 198 liters, which matches *Option 5*.

- The Correct Answer: Option 5 - 198 L