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Finding the Fourth Proportional to 232.47, 348.47 and 102.38

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Solution

The fourth proportional to 232.47, 348.47 and 102.38 is: 153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.47 : 348.47 = 102.38 : x
  2. Step 2: Convert to fraction form
    232.47/348.47 = 102.38/x
  3. Step 3: Cross multiply
    232.47x = 348.47 × 102.38
  4. Step 4: Simplify right side
    232.47x = 35,674.10
  5. Step 5: Solve for x
    x = 35,674.10/232.47
  6. Step 6: Final answer
    x = 153.46

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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.