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Finding the Fourth Proportional to 198.39, 273.64 and 124.57

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Solution

The fourth proportional to 198.39, 273.64 and 124.57 is: 171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.39 : 273.64 = 124.57 : x
  2. Step 2: Convert to fraction form
    198.39/273.64 = 124.57/x
  3. Step 3: Cross multiply
    198.39x = 273.64 × 124.57
  4. Step 4: Simplify right side
    198.39x = 34,087.33
  5. Step 5: Solve for x
    x = 34,087.33/198.39
  6. Step 6: Final answer
    x = 171.82

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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.