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Finding the Fourth Proportional to 195.53, 269.81 and 108.19

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Solution

The fourth proportional to 195.53, 269.81 and 108.19 is: 149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.53 : 269.81 = 108.19 : x
  2. Step 2: Convert to fraction form
    195.53/269.81 = 108.19/x
  3. Step 3: Cross multiply
    195.53x = 269.81 × 108.19
  4. Step 4: Simplify right side
    195.53x = 29,189.53
  5. Step 5: Solve for x
    x = 29,189.53/195.53
  6. Step 6: Final answer
    x = 149.29

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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.