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Finding the Fourth Proportional to 198.91, 298.09 and 102.79

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Solution

The fourth proportional to 198.91, 298.09 and 102.79 is: 154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.91 : 298.09 = 102.79 : x
  2. Step 2: Convert to fraction form
    198.91/298.09 = 102.79/x
  3. Step 3: Cross multiply
    198.91x = 298.09 × 102.79
  4. Step 4: Simplify right side
    198.91x = 30,640.05
  5. Step 5: Solve for x
    x = 30,640.05/198.91
  6. Step 6: Final answer
    x = 154.04

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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.