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Finding the Fourth Proportional to 198.48, 273.58 and 149.27

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Solution

The fourth proportional to 198.48, 273.58 and 149.27 is: 205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.48 : 273.58 = 149.27 : x
  2. Step 2: Convert to fraction form
    198.48/273.58 = 149.27/x
  3. Step 3: Cross multiply
    198.48x = 273.58 × 149.27
  4. Step 4: Simplify right side
    198.48x = 40,837.22
  5. Step 5: Solve for x
    x = 40,837.22/198.48
  6. Step 6: Final answer
    x = 205.75

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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.