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Finding the Fourth Proportional to 268.78, 371.09 and 169.24

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Solution

The fourth proportional to 268.78, 371.09 and 169.24 is: 233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.78 : 371.09 = 169.24 : x
  2. Step 2: Convert to fraction form
    268.78/371.09 = 169.24/x
  3. Step 3: Cross multiply
    268.78x = 371.09 × 169.24
  4. Step 4: Simplify right side
    268.78x = 62,803.27
  5. Step 5: Solve for x
    x = 62,803.27/268.78
  6. Step 6: Final answer
    x = 233.66

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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.