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Finding the Fourth Proportional to 197.92, 297.20 and 84

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Solution

The fourth proportional to 197.92, 297.20 and 84 is: 126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.92 : 297.20 = 84 : x
  2. Step 2: Convert to fraction form
    197.92/297.20 = 84/x
  3. Step 3: Cross multiply
    197.92x = 297.20 × 84
  4. Step 4: Simplify right side
    197.92x = 24,964.80
  5. Step 5: Solve for x
    x = 24,964.80/197.92
  6. Step 6: Final answer
    x = 126.14

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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.