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Finding the Fourth Proportional to 198.14, 273.53 and 115.22

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Solution

The fourth proportional to 198.14, 273.53 and 115.22 is: 159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.14 : 273.53 = 115.22 : x
  2. Step 2: Convert to fraction form
    198.14/273.53 = 115.22/x
  3. Step 3: Cross multiply
    198.14x = 273.53 × 115.22
  4. Step 4: Simplify right side
    198.14x = 31,514.18
  5. Step 5: Solve for x
    x = 31,514.18/198.14
  6. Step 6: Final answer
    x = 159.05

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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.