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Finding the Fourth Proportional to 195.32, 269.36 and 129.76

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Solution

The fourth proportional to 195.32, 269.36 and 129.76 is: 178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.32 : 269.36 = 129.76 : x
  2. Step 2: Convert to fraction form
    195.32/269.36 = 129.76/x
  3. Step 3: Cross multiply
    195.32x = 269.36 × 129.76
  4. Step 4: Simplify right side
    195.32x = 34,952.15
  5. Step 5: Solve for x
    x = 34,952.15/195.32
  6. Step 6: Final answer
    x = 178.95

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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.