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Finding the Fourth Proportional to 195.44, 269.71 and 108.11

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Solution

The fourth proportional to 195.44, 269.71 and 108.11 is: 149.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.44 : 269.71 = 108.11 : x
  2. Step 2: Convert to fraction form
    195.44/269.71 = 108.11/x
  3. Step 3: Cross multiply
    195.44x = 269.71 × 108.11
  4. Step 4: Simplify right side
    195.44x = 29,158.35
  5. Step 5: Solve for x
    x = 29,158.35/195.44
  6. Step 6: Final answer
    x = 149.19

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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.