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Finding the Fourth Proportional to 198.08, 273.08 and 148.87

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Solution

The fourth proportional to 198.08, 273.08 and 148.87 is: 205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.08 : 273.08 = 148.87 : x
  2. Step 2: Convert to fraction form
    198.08/273.08 = 148.87/x
  3. Step 3: Cross multiply
    198.08x = 273.08 × 148.87
  4. Step 4: Simplify right side
    198.08x = 40,652.68
  5. Step 5: Solve for x
    x = 40,652.68/198.08
  6. Step 6: Final answer
    x = 205.23

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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.