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Finding the Fourth Proportional to 232.96, 349.02 and 187.33

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Solution

The fourth proportional to 232.96, 349.02 and 187.33 is: 280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.96 : 349.02 = 187.33 : x
  2. Step 2: Convert to fraction form
    232.96/349.02 = 187.33/x
  3. Step 3: Cross multiply
    232.96x = 349.02 × 187.33
  4. Step 4: Simplify right side
    232.96x = 65,381.92
  5. Step 5: Solve for x
    x = 65,381.92/232.96
  6. Step 6: Final answer
    x = 280.66

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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.