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Finding the Fourth Proportional to 482.78, 724.19 and 158.14

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Solution

The fourth proportional to 482.78, 724.19 and 158.14 is: 237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.78 : 724.19 = 158.14 : x
  2. Step 2: Convert to fraction form
    482.78/724.19 = 158.14/x
  3. Step 3: Cross multiply
    482.78x = 724.19 × 158.14
  4. Step 4: Simplify right side
    482.78x = 114,523.41
  5. Step 5: Solve for x
    x = 114,523.41/482.78
  6. Step 6: Final answer
    x = 237.22

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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.