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Finding the Fourth Proportional to 195.05, 269.18 and 129.57

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Solution

The fourth proportional to 195.05, 269.18 and 129.57 is: 178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.05 : 269.18 = 129.57 : x
  2. Step 2: Convert to fraction form
    195.05/269.18 = 129.57/x
  3. Step 3: Cross multiply
    195.05x = 269.18 × 129.57
  4. Step 4: Simplify right side
    195.05x = 34,877.00
  5. Step 5: Solve for x
    x = 34,877.00/195.05
  6. Step 6: Final answer
    x = 178.82

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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.