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Finding the Fourth Proportional to 195.32, 269.78 and 142.77

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Solution

The fourth proportional to 195.32, 269.78 and 142.77 is: 197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.32 : 269.78 = 142.77 : x
  2. Step 2: Convert to fraction form
    195.32/269.78 = 142.77/x
  3. Step 3: Cross multiply
    195.32x = 269.78 × 142.77
  4. Step 4: Simplify right side
    195.32x = 38,516.85
  5. Step 5: Solve for x
    x = 38,516.85/195.32
  6. Step 6: Final answer
    x = 197.20

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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.