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Finding the Fourth Proportional to 198.40, 273.67 and 128.43

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Solution

The fourth proportional to 198.40, 273.67 and 128.43 is: 177.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.40 : 273.67 = 128.43 : x
  2. Step 2: Convert to fraction form
    198.40/273.67 = 128.43/x
  3. Step 3: Cross multiply
    198.40x = 273.67 × 128.43
  4. Step 4: Simplify right side
    198.40x = 35,147.12
  5. Step 5: Solve for x
    x = 35,147.12/198.40
  6. Step 6: Final answer
    x = 177.16

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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.