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Finding the Fourth Proportional to 198.20, 273.42 and 120.56

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Solution

The fourth proportional to 198.20, 273.42 and 120.56 is: 166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.20 : 273.42 = 120.56 : x
  2. Step 2: Convert to fraction form
    198.20/273.42 = 120.56/x
  3. Step 3: Cross multiply
    198.20x = 273.42 × 120.56
  4. Step 4: Simplify right side
    198.20x = 32,963.52
  5. Step 5: Solve for x
    x = 32,963.52/198.20
  6. Step 6: Final answer
    x = 166.31

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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.