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Finding the Fourth Proportional to 198.41, 273.72 and 139.48

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Solution

The fourth proportional to 198.41, 273.72 and 139.48 is: 192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.41 : 273.72 = 139.48 : x
  2. Step 2: Convert to fraction form
    198.41/273.72 = 139.48/x
  3. Step 3: Cross multiply
    198.41x = 273.72 × 139.48
  4. Step 4: Simplify right side
    198.41x = 38,177.52
  5. Step 5: Solve for x
    x = 38,177.52/198.41
  6. Step 6: Final answer
    x = 192.42

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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.