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Finding the Fourth Proportional to 198.35, 273.16 and 194.11

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Solution

The fourth proportional to 198.35, 273.16 and 194.11 is: 267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.35 : 273.16 = 194.11 : x
  2. Step 2: Convert to fraction form
    198.35/273.16 = 194.11/x
  3. Step 3: Cross multiply
    198.35x = 273.16 × 194.11
  4. Step 4: Simplify right side
    198.35x = 53,023.09
  5. Step 5: Solve for x
    x = 53,023.09/198.35
  6. Step 6: Final answer
    x = 267.32

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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.