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Finding the Fourth Proportional to 198.70, 273.98 and 149.48

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Solution

The fourth proportional to 198.70, 273.98 and 149.48 is: 206.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.70 : 273.98 = 149.48 : x
  2. Step 2: Convert to fraction form
    198.70/273.98 = 149.48/x
  3. Step 3: Cross multiply
    198.70x = 273.98 × 149.48
  4. Step 4: Simplify right side
    198.70x = 40,953.78
  5. Step 5: Solve for x
    x = 40,953.78/198.70
  6. Step 6: Final answer
    x = 206.11

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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.