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Finding the Fourth Proportional to 198.01, 273.48 and 149.11

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Solution

The fourth proportional to 198.01, 273.48 and 149.11 is: 205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.01 : 273.48 = 149.11 : x
  2. Step 2: Convert to fraction form
    198.01/273.48 = 149.11/x
  3. Step 3: Cross multiply
    198.01x = 273.48 × 149.11
  4. Step 4: Simplify right side
    198.01x = 40,778.60
  5. Step 5: Solve for x
    x = 40,778.60/198.01
  6. Step 6: Final answer
    x = 205.94

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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.