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Finding the Fourth Proportional to 482.80, 724.31 and 158.15

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Solution

The fourth proportional to 482.80, 724.31 and 158.15 is: 237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.80 : 724.31 = 158.15 : x
  2. Step 2: Convert to fraction form
    482.80/724.31 = 158.15/x
  3. Step 3: Cross multiply
    482.80x = 724.31 × 158.15
  4. Step 4: Simplify right side
    482.80x = 114,545.21
  5. Step 5: Solve for x
    x = 114,545.21/482.80
  6. Step 6: Final answer
    x = 237.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.