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Finding the Fourth Proportional to 232.46, 320.75 and 132.87

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Solution

The fourth proportional to 232.46, 320.75 and 132.87 is: 183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.46 : 320.75 = 132.87 : x
  2. Step 2: Convert to fraction form
    232.46/320.75 = 132.87/x
  3. Step 3: Cross multiply
    232.46x = 320.75 × 132.87
  4. Step 4: Simplify right side
    232.46x = 42,618.05
  5. Step 5: Solve for x
    x = 42,618.05/232.46
  6. Step 6: Final answer
    x = 183.33

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