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Finding the Fourth Proportional to 232.73, 348.69 and 207.62

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Solution

The fourth proportional to 232.73, 348.69 and 207.62 is: 311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.73 : 348.69 = 207.62 : x
  2. Step 2: Convert to fraction form
    232.73/348.69 = 207.62/x
  3. Step 3: Cross multiply
    232.73x = 348.69 × 207.62
  4. Step 4: Simplify right side
    232.73x = 72,395.02
  5. Step 5: Solve for x
    x = 72,395.02/232.73
  6. Step 6: Final answer
    x = 311.07

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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.