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Finding the Fourth Proportional to 232.20, 320.40 and 207.72

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Solution

The fourth proportional to 232.20, 320.40 and 207.72 is: 286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.20 : 320.40 = 207.72 : x
  2. Step 2: Convert to fraction form
    232.20/320.40 = 207.72/x
  3. Step 3: Cross multiply
    232.20x = 320.40 × 207.72
  4. Step 4: Simplify right side
    232.20x = 66,553.49
  5. Step 5: Solve for x
    x = 66,553.49/232.20
  6. Step 6: Final answer
    x = 286.62

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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.