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Finding the Fourth Proportional to 198.47, 273.83 and 115.56

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Solution

The fourth proportional to 198.47, 273.83 and 115.56 is: 159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.47 : 273.83 = 115.56 : x
  2. Step 2: Convert to fraction form
    198.47/273.83 = 115.56/x
  3. Step 3: Cross multiply
    198.47x = 273.83 × 115.56
  4. Step 4: Simplify right side
    198.47x = 31,643.87
  5. Step 5: Solve for x
    x = 31,643.87/198.47
  6. Step 6: Final answer
    x = 159.44

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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.