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Finding the Fourth Proportional to 198.56, 273.71 and 142.41

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Solution

The fourth proportional to 198.56, 273.71 and 142.41 is: 196.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.56 : 273.71 = 142.41 : x
  2. Step 2: Convert to fraction form
    198.56/273.71 = 142.41/x
  3. Step 3: Cross multiply
    198.56x = 273.71 × 142.41
  4. Step 4: Simplify right side
    198.56x = 38,979.04
  5. Step 5: Solve for x
    x = 38,979.04/198.56
  6. Step 6: Final answer
    x = 196.31

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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.