Select the related words/letters/number from the given alternatives :
दिये गये विकल्पों में से संबंधित शब्दों/अक्षरों/अंकों को चुनिए :
36:216::44 : ?

Options

A. 256
B. 200
C. 300
D. 264

Explanation

To solve the problem, we need to find the relationship between the numbers 36 and 216, and then apply that same relationship to the number 44 to find the corresponding number from the given options.

### Step-by-Step Solution:

1. **Identify the relationship between 36 and 216**:
- We observe that \( 36 = 6^2 \).
- Now, we need to find \( 216 \) in terms of powers. We know that \( 216 = 6^3 \).
- Therefore, we can see that \( 36 \) (which is \( 6^2 \)) is related to \( 216 \) (which is \( 6^3 \)) by the relationship of base and exponent.

2. **Apply the same relationship to 44**:
- Here, we treat \( 44 \) as the base. We need to find the corresponding number using the same exponent relationship.
- We will use the base \( 4 \) (since \( 4^3 = 64 \) and \( 4^4 = 256 \)).

3. **Calculate \( 44 \) raised to the power of \( 4 \)**:
- We calculate \( 4^4 \):
\[ 4^4 = 4 \times 4 \times 4 \times 4 \]
- First, calculate \( 4 \times 4 = 16 \).
- Then, calculate \( 16 \times 4 = 64 \).
- Finally, calculate \( 64 \times 4 = 256 \).

4. **Conclusion**:
- Thus, the number related to \( 44 \) is \( 256 \).

### Final Answer:
The answer is **256**.