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Finding the Fourth Proportional to 195.57, 269.64 and 143.19

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Solution

The fourth proportional to 195.57, 269.64 and 143.19 is: 197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.57 : 269.64 = 143.19 : x
  2. Step 2: Convert to fraction form
    195.57/269.64 = 143.19/x
  3. Step 3: Cross multiply
    195.57x = 269.64 × 143.19
  4. Step 4: Simplify right side
    195.57x = 38,609.75
  5. Step 5: Solve for x
    x = 38,609.75/195.57
  6. Step 6: Final answer
    x = 197.42

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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.