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Finding the Fourth Proportional to 195.22, 269.67 and 142.84

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Solution

The fourth proportional to 195.22, 269.67 and 142.84 is: 197.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.22 : 269.67 = 142.84 : x
  2. Step 2: Convert to fraction form
    195.22/269.67 = 142.84/x
  3. Step 3: Cross multiply
    195.22x = 269.67 × 142.84
  4. Step 4: Simplify right side
    195.22x = 38,519.66
  5. Step 5: Solve for x
    x = 38,519.66/195.22
  6. Step 6: Final answer
    x = 197.31

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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.