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Finding the Fourth Proportional to 232.29, 320.61 and 185.73

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Solution

The fourth proportional to 232.29, 320.61 and 185.73 is: 256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.29 : 320.61 = 185.73 : x
  2. Step 2: Convert to fraction form
    232.29/320.61 = 185.73/x
  3. Step 3: Cross multiply
    232.29x = 320.61 × 185.73
  4. Step 4: Simplify right side
    232.29x = 59,546.90
  5. Step 5: Solve for x
    x = 59,546.90/232.29
  6. Step 6: Final answer
    x = 256.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.