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Finding the Fourth Proportional to 198.44, 273.85 and 109.93

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Solution

The fourth proportional to 198.44, 273.85 and 109.93 is: 151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.44 : 273.85 = 109.93 : x
  2. Step 2: Convert to fraction form
    198.44/273.85 = 109.93/x
  3. Step 3: Cross multiply
    198.44x = 273.85 × 109.93
  4. Step 4: Simplify right side
    198.44x = 30,103.11
  5. Step 5: Solve for x
    x = 30,103.11/198.44
  6. Step 6: Final answer
    x = 151.70

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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.