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Finding the Fourth Proportional to 198.24, 273.62 and 120.68

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Solution

The fourth proportional to 198.24, 273.62 and 120.68 is: 166.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.24 : 273.62 = 120.68 : x
  2. Step 2: Convert to fraction form
    198.24/273.62 = 120.68/x
  3. Step 3: Cross multiply
    198.24x = 273.62 × 120.68
  4. Step 4: Simplify right side
    198.24x = 33,020.46
  5. Step 5: Solve for x
    x = 33,020.46/198.24
  6. Step 6: Final answer
    x = 166.57

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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.