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Finding the Fourth Proportional to 195.24, 269.26 and 142.72

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Solution

The fourth proportional to 195.24, 269.26 and 142.72 is: 196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.24 : 269.26 = 142.72 : x
  2. Step 2: Convert to fraction form
    195.24/269.26 = 142.72/x
  3. Step 3: Cross multiply
    195.24x = 269.26 × 142.72
  4. Step 4: Simplify right side
    195.24x = 38,428.79
  5. Step 5: Solve for x
    x = 38,428.79/195.24
  6. Step 6: Final answer
    x = 196.83

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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.