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Finding the Fourth Proportional to 198.56, 273.84 and 149.76

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Solution

The fourth proportional to 198.56, 273.84 and 149.76 is: 206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.56 : 273.84 = 149.76 : x
  2. Step 2: Convert to fraction form
    198.56/273.84 = 149.76/x
  3. Step 3: Cross multiply
    198.56x = 273.84 × 149.76
  4. Step 4: Simplify right side
    198.56x = 41,010.28
  5. Step 5: Solve for x
    x = 41,010.28/198.56
  6. Step 6: Final answer
    x = 206.54

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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.