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Finding the Fourth Proportional to 198.20, 273.50 and 113.04

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Solution

The fourth proportional to 198.20, 273.50 and 113.04 is: 155.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.20 : 273.50 = 113.04 : x
  2. Step 2: Convert to fraction form
    198.20/273.50 = 113.04/x
  3. Step 3: Cross multiply
    198.20x = 273.50 × 113.04
  4. Step 4: Simplify right side
    198.20x = 30,916.44
  5. Step 5: Solve for x
    x = 30,916.44/198.20
  6. Step 6: Final answer
    x = 155.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.