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Finding the Fourth Proportional to 221.92, 331.20 and 197.30

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Solution

The fourth proportional to 221.92, 331.20 and 197.30 is: 294.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.92 : 331.20 = 197.30 : x
  2. Step 2: Convert to fraction form
    221.92/331.20 = 197.30/x
  3. Step 3: Cross multiply
    221.92x = 331.20 × 197.30
  4. Step 4: Simplify right side
    221.92x = 65,346.59
  5. Step 5: Solve for x
    x = 65,346.59/221.92
  6. Step 6: Final answer
    x = 294.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.