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Finding the Fourth Proportional to 232.78, 349.20 and 86.54

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Solution

The fourth proportional to 232.78, 349.20 and 86.54 is: 129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.78 : 349.20 = 86.54 : x
  2. Step 2: Convert to fraction form
    232.78/349.20 = 86.54/x
  3. Step 3: Cross multiply
    232.78x = 349.20 × 86.54
  4. Step 4: Simplify right side
    232.78x = 30,219.77
  5. Step 5: Solve for x
    x = 30,219.77/232.78
  6. Step 6: Final answer
    x = 129.82

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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.