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Finding the Fourth Proportional to 308.80, 461.32 and 240.16

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Solution

The fourth proportional to 308.80, 461.32 and 240.16 is: 358.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.80 : 461.32 = 240.16 : x
  2. Step 2: Convert to fraction form
    308.80/461.32 = 240.16/x
  3. Step 3: Cross multiply
    308.80x = 461.32 × 240.16
  4. Step 4: Simplify right side
    308.80x = 110,790.61
  5. Step 5: Solve for x
    x = 110,790.61/308.80
  6. Step 6: Final answer
    x = 358.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.