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Finding the Fourth Proportional to 198.22, 273.52 and 119.56

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Solution

The fourth proportional to 198.22, 273.52 and 119.56 is: 164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.22 : 273.52 = 119.56 : x
  2. Step 2: Convert to fraction form
    198.22/273.52 = 119.56/x
  3. Step 3: Cross multiply
    198.22x = 273.52 × 119.56
  4. Step 4: Simplify right side
    198.22x = 32,702.05
  5. Step 5: Solve for x
    x = 32,702.05/198.22
  6. Step 6: Final answer
    x = 164.98

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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.