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Finding the Fourth Proportional to 198.36, 273.74 and 109.83

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Solution

The fourth proportional to 198.36, 273.74 and 109.83 is: 151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.36 : 273.74 = 109.83 : x
  2. Step 2: Convert to fraction form
    198.36/273.74 = 109.83/x
  3. Step 3: Cross multiply
    198.36x = 273.74 × 109.83
  4. Step 4: Simplify right side
    198.36x = 30,064.86
  5. Step 5: Solve for x
    x = 30,064.86/198.36
  6. Step 6: Final answer
    x = 151.57

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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.