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Finding the Fourth Proportional to 195.30, 269.19 and 142.83

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Solution

The fourth proportional to 195.30, 269.19 and 142.83 is: 196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.30 : 269.19 = 142.83 : x
  2. Step 2: Convert to fraction form
    195.30/269.19 = 142.83/x
  3. Step 3: Cross multiply
    195.30x = 269.19 × 142.83
  4. Step 4: Simplify right side
    195.30x = 38,448.41
  5. Step 5: Solve for x
    x = 38,448.41/195.30
  6. Step 6: Final answer
    x = 196.87

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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.