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Finding the Fourth Proportional to 195.03, 269.31 and 142.87

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Solution

The fourth proportional to 195.03, 269.31 and 142.87 is: 197.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.03 : 269.31 = 142.87 : x
  2. Step 2: Convert to fraction form
    195.03/269.31 = 142.87/x
  3. Step 3: Cross multiply
    195.03x = 269.31 × 142.87
  4. Step 4: Simplify right side
    195.03x = 38,476.32
  5. Step 5: Solve for x
    x = 38,476.32/195.03
  6. Step 6: Final answer
    x = 197.28

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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.