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Finding the Fourth Proportional to 198.46, 273.54 and 136.18

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Solution

The fourth proportional to 198.46, 273.54 and 136.18 is: 187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.46 : 273.54 = 136.18 : x
  2. Step 2: Convert to fraction form
    198.46/273.54 = 136.18/x
  3. Step 3: Cross multiply
    198.46x = 273.54 × 136.18
  4. Step 4: Simplify right side
    198.46x = 37,250.68
  5. Step 5: Solve for x
    x = 37,250.68/198.46
  6. Step 6: Final answer
    x = 187.70

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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.