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Finding the Fourth Proportional to 198.20, 273.47 and 119.52

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Solution

The fourth proportional to 198.20, 273.47 and 119.52 is: 164.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.20 : 273.47 = 119.52 : x
  2. Step 2: Convert to fraction form
    198.20/273.47 = 119.52/x
  3. Step 3: Cross multiply
    198.20x = 273.47 × 119.52
  4. Step 4: Simplify right side
    198.20x = 32,684.54
  5. Step 5: Solve for x
    x = 32,684.54/198.20
  6. Step 6: Final answer
    x = 164.91

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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.