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Finding the Fourth Proportional to 198.39, 273.77 and 115.54

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Solution

The fourth proportional to 198.39, 273.77 and 115.54 is: 159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.39 : 273.77 = 115.54 : x
  2. Step 2: Convert to fraction form
    198.39/273.77 = 115.54/x
  3. Step 3: Cross multiply
    198.39x = 273.77 × 115.54
  4. Step 4: Simplify right side
    198.39x = 31,631.39
  5. Step 5: Solve for x
    x = 31,631.39/198.39
  6. Step 6: Final answer
    x = 159.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.