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Finding the Fourth Proportional to 194.97, 269.05 and 120.27

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Solution

The fourth proportional to 194.97, 269.05 and 120.27 is: 165.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.97 : 269.05 = 120.27 : x
  2. Step 2: Convert to fraction form
    194.97/269.05 = 120.27/x
  3. Step 3: Cross multiply
    194.97x = 269.05 × 120.27
  4. Step 4: Simplify right side
    194.97x = 32,358.04
  5. Step 5: Solve for x
    x = 32,358.04/194.97
  6. Step 6: Final answer
    x = 165.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.