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Finding the Fourth Proportional to 198.78, 298.20 and 75.38

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Solution

The fourth proportional to 198.78, 298.20 and 75.38 is: 113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.78 : 298.20 = 75.38 : x
  2. Step 2: Convert to fraction form
    198.78/298.20 = 75.38/x
  3. Step 3: Cross multiply
    198.78x = 298.20 × 75.38
  4. Step 4: Simplify right side
    198.78x = 22,476.83
  5. Step 5: Solve for x
    x = 22,476.83/198.78
  6. Step 6: Final answer
    x = 113.07

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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.