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Finding the Fourth Proportional to 198.19, 273.40 and 149.05

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Solution

The fourth proportional to 198.19, 273.40 and 149.05 is: 205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.19 : 273.40 = 149.05 : x
  2. Step 2: Convert to fraction form
    198.19/273.40 = 149.05/x
  3. Step 3: Cross multiply
    198.19x = 273.40 × 149.05
  4. Step 4: Simplify right side
    198.19x = 40,749.21
  5. Step 5: Solve for x
    x = 40,749.21/198.19
  6. Step 6: Final answer
    x = 205.61

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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.