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Finding the Fourth Proportional to 352.90, 487 and 197.64

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Solution

The fourth proportional to 352.90, 487 and 197.64 is: 272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.90 : 487 = 197.64 : x
  2. Step 2: Convert to fraction form
    352.90/487 = 197.64/x
  3. Step 3: Cross multiply
    352.90x = 487 × 197.64
  4. Step 4: Simplify right side
    352.90x = 96,250.68
  5. Step 5: Solve for x
    x = 96,250.68/352.90
  6. Step 6: Final answer
    x = 272.74

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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.