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Finding the Fourth Proportional to 198.41, 273.92 and 133.03

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Solution

The fourth proportional to 198.41, 273.92 and 133.03 is: 183.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.41 : 273.92 = 133.03 : x
  2. Step 2: Convert to fraction form
    198.41/273.92 = 133.03/x
  3. Step 3: Cross multiply
    198.41x = 273.92 × 133.03
  4. Step 4: Simplify right side
    198.41x = 36,438.23
  5. Step 5: Solve for x
    x = 36,438.23/198.41
  6. Step 6: Final answer
    x = 183.65

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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.