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Finding the Fourth Proportional to 232.72, 349.32 and 171.66

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Solution

The fourth proportional to 232.72, 349.32 and 171.66 is: 257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.72 : 349.32 = 171.66 : x
  2. Step 2: Convert to fraction form
    232.72/349.32 = 171.66/x
  3. Step 3: Cross multiply
    232.72x = 349.32 × 171.66
  4. Step 4: Simplify right side
    232.72x = 59,964.27
  5. Step 5: Solve for x
    x = 59,964.27/232.72
  6. Step 6: Final answer
    x = 257.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.