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Finding the Fourth Proportional to 232.80, 320.96 and 155.20

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Solution

The fourth proportional to 232.80, 320.96 and 155.20 is: 213.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.80 : 320.96 = 155.20 : x
  2. Step 2: Convert to fraction form
    232.80/320.96 = 155.20/x
  3. Step 3: Cross multiply
    232.80x = 320.96 × 155.20
  4. Step 4: Simplify right side
    232.80x = 49,812.99
  5. Step 5: Solve for x
    x = 49,812.99/232.80
  6. Step 6: Final answer
    x = 213.97

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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.