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Finding the Fourth Proportional to 198.08, 273.34 and 131.61

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Solution

The fourth proportional to 198.08, 273.34 and 131.61 is: 181.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.08 : 273.34 = 131.61 : x
  2. Step 2: Convert to fraction form
    198.08/273.34 = 131.61/x
  3. Step 3: Cross multiply
    198.08x = 273.34 × 131.61
  4. Step 4: Simplify right side
    198.08x = 35,974.28
  5. Step 5: Solve for x
    x = 35,974.28/198.08
  6. Step 6: Final answer
    x = 181.61

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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.