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Finding the Fourth Proportional to 482.83, 724.07 and 158.12

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Solution

The fourth proportional to 482.83, 724.07 and 158.12 is: 237.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.83 : 724.07 = 158.12 : x
  2. Step 2: Convert to fraction form
    482.83/724.07 = 158.12/x
  3. Step 3: Cross multiply
    482.83x = 724.07 × 158.12
  4. Step 4: Simplify right side
    482.83x = 114,486.72
  5. Step 5: Solve for x
    x = 114,486.72/482.83
  6. Step 6: Final answer
    x = 237.12

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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.