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Finding the Fourth Proportional to 286.24, 394.89 and 169.78

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Solution

The fourth proportional to 286.24, 394.89 and 169.78 is: 234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.24 : 394.89 = 169.78 : x
  2. Step 2: Convert to fraction form
    286.24/394.89 = 169.78/x
  3. Step 3: Cross multiply
    286.24x = 394.89 × 169.78
  4. Step 4: Simplify right side
    286.24x = 67,044.42
  5. Step 5: Solve for x
    x = 67,044.42/286.24
  6. Step 6: Final answer
    x = 234.22

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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.