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Finding the Fourth Proportional to 199.28, 298.92 and 83.71

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Solution

The fourth proportional to 199.28, 298.92 and 83.71 is: 125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.28 : 298.92 = 83.71 : x
  2. Step 2: Convert to fraction form
    199.28/298.92 = 83.71/x
  3. Step 3: Cross multiply
    199.28x = 298.92 × 83.71
  4. Step 4: Simplify right side
    199.28x = 25,021.10
  5. Step 5: Solve for x
    x = 25,021.10/199.28
  6. Step 6: Final answer
    x = 125.56

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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.