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Finding the Fourth Proportional to 195.24, 269.34 and 129.78

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Solution

The fourth proportional to 195.24, 269.34 and 129.78 is: 179.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.24 : 269.34 = 129.78 : x
  2. Step 2: Convert to fraction form
    195.24/269.34 = 129.78/x
  3. Step 3: Cross multiply
    195.24x = 269.34 × 129.78
  4. Step 4: Simplify right side
    195.24x = 34,954.95
  5. Step 5: Solve for x
    x = 34,954.95/195.24
  6. Step 6: Final answer
    x = 179.04

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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.