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Finding the Fourth Proportional to 487.83, 731.78 and 163.16

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Solution

The fourth proportional to 487.83, 731.78 and 163.16 is: 244.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.83 : 731.78 = 163.16 : x
  2. Step 2: Convert to fraction form
    487.83/731.78 = 163.16/x
  3. Step 3: Cross multiply
    487.83x = 731.78 × 163.16
  4. Step 4: Simplify right side
    487.83x = 119,397.22
  5. Step 5: Solve for x
    x = 119,397.22/487.83
  6. Step 6: Final answer
    x = 244.75

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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.