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Finding the Fourth Proportional to 232.47, 348.71 and 95.54

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Solution

The fourth proportional to 232.47, 348.71 and 95.54 is: 143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.47 : 348.71 = 95.54 : x
  2. Step 2: Convert to fraction form
    232.47/348.71 = 95.54/x
  3. Step 3: Cross multiply
    232.47x = 348.71 × 95.54
  4. Step 4: Simplify right side
    232.47x = 33,313.53
  5. Step 5: Solve for x
    x = 33,313.53/232.47
  6. Step 6: Final answer
    x = 143.30

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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.