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Finding the Fourth Proportional to 197.92, 296.24 and 161.60

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Solution

The fourth proportional to 197.92, 296.24 and 161.60 is: 241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.92 : 296.24 = 161.60 : x
  2. Step 2: Convert to fraction form
    197.92/296.24 = 161.60/x
  3. Step 3: Cross multiply
    197.92x = 296.24 × 161.60
  4. Step 4: Simplify right side
    197.92x = 47,872.38
  5. Step 5: Solve for x
    x = 47,872.38/197.92
  6. Step 6: Final answer
    x = 241.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.