It seems like you’re working on a problem involving rotations and ratios, but let me simplify and clarify it step-by-step.

Easy Explanation:

1. Starting with a ratio and a rotation:

   • We want to reach a certain value, specifically $3223$. The math suggests that we need to rotate something (perhaps a triangle, shape, or graph) to change or adjust the ratio.

2. Rotation Breakdown:

   • One full circle is 360°.
   • If we divide $360^\circ$ by $\frac{3}{2}$, we get: $360^\circ \div \frac{3}{2} = 240^\circ$ This is a large amount of rotation.

3. Minimal rotation adjustment:

   • Sometimes, instead of a full or large rotation, we only need a small change to get the desired ratio.
   • Here, the math says that if you increase the angle by 60° (i.e., from 180° to 240°), you’d reach your desired ratio. But that’s not the smallest adjustment possible.

4. 36° Rotation works too:

   • A 36° rotation (instead of the full 60°) can often be enough to adjust the ratio between similar triangles or other geometric figures to meet the requirements.
     This is why 36° is marked as the correct answer—it’s a smaller, more efficient rotation to achieve the needed ratio.

Final Answer:

The 36° rotation is the smallest rotation that achieves the required result.

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Let me know if this clarifies it!

Here are five related questions:

1. What is the relationship between angle rotations and similarity in triangles?
2. How do different rotations affect ratios between shapes?
3. Why does dividing 360° by a fraction result in a larger number?
4. What are other real-world examples where rotations influence outcomes?
5. How can small angle adjustments achieve large changes in some geometric properties?

Tip: When working with rotations, try drawing the shapes to visualize how the angles change step by step.