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Finding the Fourth Proportional to 198.35, 273.44 and 132.74

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Solution

The fourth proportional to 198.35, 273.44 and 132.74 is: 182.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.35 : 273.44 = 132.74 : x
  2. Step 2: Convert to fraction form
    198.35/273.44 = 132.74/x
  3. Step 3: Cross multiply
    198.35x = 273.44 × 132.74
  4. Step 4: Simplify right side
    198.35x = 36,295.76
  5. Step 5: Solve for x
    x = 36,295.76/198.35
  6. Step 6: Final answer
    x = 182.99

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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.