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Finding the Fourth Proportional to 198.01, 273.12 and 135.76

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Solution

The fourth proportional to 198.01, 273.12 and 135.76 is: 187.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.01 : 273.12 = 135.76 : x
  2. Step 2: Convert to fraction form
    198.01/273.12 = 135.76/x
  3. Step 3: Cross multiply
    198.01x = 273.12 × 135.76
  4. Step 4: Simplify right side
    198.01x = 37,078.77
  5. Step 5: Solve for x
    x = 37,078.77/198.01
  6. Step 6: Final answer
    x = 187.26

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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.