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Finding the Fourth Proportional to 195.24, 269.11 and 153.73

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Solution

The fourth proportional to 195.24, 269.11 and 153.73 is: 211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.24 : 269.11 = 153.73 : x
  2. Step 2: Convert to fraction form
    195.24/269.11 = 153.73/x
  3. Step 3: Cross multiply
    195.24x = 269.11 × 153.73
  4. Step 4: Simplify right side
    195.24x = 41,370.28
  5. Step 5: Solve for x
    x = 41,370.28/195.24
  6. Step 6: Final answer
    x = 211.89

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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.