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Finding the Fourth Proportional to 198.14, 273.26 and 148.46

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Solution

The fourth proportional to 198.14, 273.26 and 148.46 is: 204.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.14 : 273.26 = 148.46 : x
  2. Step 2: Convert to fraction form
    198.14/273.26 = 148.46/x
  3. Step 3: Cross multiply
    198.14x = 273.26 × 148.46
  4. Step 4: Simplify right side
    198.14x = 40,568.72
  5. Step 5: Solve for x
    x = 40,568.72/198.14
  6. Step 6: Final answer
    x = 204.75

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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.