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Finding the Fourth Proportional to 353.02, 487.15 and 197.74

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Solution

The fourth proportional to 353.02, 487.15 and 197.74 is: 272.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.02 : 487.15 = 197.74 : x
  2. Step 2: Convert to fraction form
    353.02/487.15 = 197.74/x
  3. Step 3: Cross multiply
    353.02x = 487.15 × 197.74
  4. Step 4: Simplify right side
    353.02x = 96,329.04
  5. Step 5: Solve for x
    x = 96,329.04/353.02
  6. Step 6: Final answer
    x = 272.87

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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.