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Finding the Fourth Proportional to 198.46, 273.87 and 111.13

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Solution

The fourth proportional to 198.46, 273.87 and 111.13 is: 153.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.46 : 273.87 = 111.13 : x
  2. Step 2: Convert to fraction form
    198.46/273.87 = 111.13/x
  3. Step 3: Cross multiply
    198.46x = 273.87 × 111.13
  4. Step 4: Simplify right side
    198.46x = 30,433.80
  5. Step 5: Solve for x
    x = 30,433.80/198.46
  6. Step 6: Final answer
    x = 153.35

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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.