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Finding the Fourth Proportional to 195.77, 269.92 and 143.30

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Solution

The fourth proportional to 195.77, 269.92 and 143.30 is: 197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.77 : 269.92 = 143.30 : x
  2. Step 2: Convert to fraction form
    195.77/269.92 = 143.30/x
  3. Step 3: Cross multiply
    195.77x = 269.92 × 143.30
  4. Step 4: Simplify right side
    195.77x = 38,679.54
  5. Step 5: Solve for x
    x = 38,679.54/195.77
  6. Step 6: Final answer
    x = 197.58

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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.