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Finding the Fourth Proportional to 198.25, 273.72 and 120.76

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Solution

The fourth proportional to 198.25, 273.72 and 120.76 is: 166.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.25 : 273.72 = 120.76 : x
  2. Step 2: Convert to fraction form
    198.25/273.72 = 120.76/x
  3. Step 3: Cross multiply
    198.25x = 273.72 × 120.76
  4. Step 4: Simplify right side
    198.25x = 33,054.43
  5. Step 5: Solve for x
    x = 33,054.43/198.25
  6. Step 6: Final answer
    x = 166.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.