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Finding the Fourth Proportional to 198.92, 298.29 and 83.42

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Solution

The fourth proportional to 198.92, 298.29 and 83.42 is: 125.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.92 : 298.29 = 83.42 : x
  2. Step 2: Convert to fraction form
    198.92/298.29 = 83.42/x
  3. Step 3: Cross multiply
    198.92x = 298.29 × 83.42
  4. Step 4: Simplify right side
    198.92x = 24,883.35
  5. Step 5: Solve for x
    x = 24,883.35/198.92
  6. Step 6: Final answer
    x = 125.09

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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.