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Finding the Fourth Proportional to 263.78, 396.09 and 166.47

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Solution

The fourth proportional to 263.78, 396.09 and 166.47 is: 249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.78 : 396.09 = 166.47 : x
  2. Step 2: Convert to fraction form
    263.78/396.09 = 166.47/x
  3. Step 3: Cross multiply
    263.78x = 396.09 × 166.47
  4. Step 4: Simplify right side
    263.78x = 65,937.10
  5. Step 5: Solve for x
    x = 65,937.10/263.78
  6. Step 6: Final answer
    x = 249.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.