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Finding the Fourth Proportional to 198.34, 273.71 and 109.81

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Solution

The fourth proportional to 198.34, 273.71 and 109.81 is: 151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.34 : 273.71 = 109.81 : x
  2. Step 2: Convert to fraction form
    198.34/273.71 = 109.81/x
  3. Step 3: Cross multiply
    198.34x = 273.71 × 109.81
  4. Step 4: Simplify right side
    198.34x = 30,057.48
  5. Step 5: Solve for x
    x = 30,057.48/198.34
  6. Step 6: Final answer
    x = 151.54

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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.