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Finding the Fourth Proportional to 363.20, 501.21 and 197.41

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Solution

The fourth proportional to 363.20, 501.21 and 197.41 is: 272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.20 : 501.21 = 197.41 : x
  2. Step 2: Convert to fraction form
    363.20/501.21 = 197.41/x
  3. Step 3: Cross multiply
    363.20x = 501.21 × 197.41
  4. Step 4: Simplify right side
    363.20x = 98,944.36
  5. Step 5: Solve for x
    x = 98,944.36/363.20
  6. Step 6: Final answer
    x = 272.43

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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.