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Finding the Fourth Proportional to 232.37, 347.90 and 129.27

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Solution

The fourth proportional to 232.37, 347.90 and 129.27 is: 193.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.37 : 347.90 = 129.27 : x
  2. Step 2: Convert to fraction form
    232.37/347.90 = 129.27/x
  3. Step 3: Cross multiply
    232.37x = 347.90 × 129.27
  4. Step 4: Simplify right side
    232.37x = 44,972.71
  5. Step 5: Solve for x
    x = 44,972.71/232.37
  6. Step 6: Final answer
    x = 193.54

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