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Finding the Fourth Proportional to 198.22, 273.49 and 119.53

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Solution

The fourth proportional to 198.22, 273.49 and 119.53 is: 164.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.22 : 273.49 = 119.53 : x
  2. Step 2: Convert to fraction form
    198.22/273.49 = 119.53/x
  3. Step 3: Cross multiply
    198.22x = 273.49 × 119.53
  4. Step 4: Simplify right side
    198.22x = 32,689.28
  5. Step 5: Solve for x
    x = 32,689.28/198.22
  6. Step 6: Final answer
    x = 164.92

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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.