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Finding the Fourth Proportional to 198.28, 273.74 and 149.37

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Solution

The fourth proportional to 198.28, 273.74 and 149.37 is: 206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.28 : 273.74 = 149.37 : x
  2. Step 2: Convert to fraction form
    198.28/273.74 = 149.37/x
  3. Step 3: Cross multiply
    198.28x = 273.74 × 149.37
  4. Step 4: Simplify right side
    198.28x = 40,888.54
  5. Step 5: Solve for x
    x = 40,888.54/198.28
  6. Step 6: Final answer
    x = 206.22

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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.