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Finding the Fourth Proportional to 195.57, 269.88 and 108.24

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Solution

The fourth proportional to 195.57, 269.88 and 108.24 is: 149.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.57 : 269.88 = 108.24 : x
  2. Step 2: Convert to fraction form
    195.57/269.88 = 108.24/x
  3. Step 3: Cross multiply
    195.57x = 269.88 × 108.24
  4. Step 4: Simplify right side
    195.57x = 29,211.81
  5. Step 5: Solve for x
    x = 29,211.81/195.57
  6. Step 6: Final answer
    x = 149.37

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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.