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Finding the Fourth Proportional to 195.37, 269.46 and 129.76

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Solution

The fourth proportional to 195.37, 269.46 and 129.76 is: 178.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.37 : 269.46 = 129.76 : x
  2. Step 2: Convert to fraction form
    195.37/269.46 = 129.76/x
  3. Step 3: Cross multiply
    195.37x = 269.46 × 129.76
  4. Step 4: Simplify right side
    195.37x = 34,964.46
  5. Step 5: Solve for x
    x = 34,964.46/195.37
  6. Step 6: Final answer
    x = 178.97

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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.