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Finding the Fourth Proportional to 352.97, 487.10 and 197.72

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Solution

The fourth proportional to 352.97, 487.10 and 197.72 is: 272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.97 : 487.10 = 197.72 : x
  2. Step 2: Convert to fraction form
    352.97/487.10 = 197.72/x
  3. Step 3: Cross multiply
    352.97x = 487.10 × 197.72
  4. Step 4: Simplify right side
    352.97x = 96,309.30
  5. Step 5: Solve for x
    x = 96,309.30/352.97
  6. Step 6: Final answer
    x = 272.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.