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Finding the Fourth Proportional to 286.26, 394.90 and 169.75

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Solution

The fourth proportional to 286.26, 394.90 and 169.75 is: 234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.26 : 394.90 = 169.75 : x
  2. Step 2: Convert to fraction form
    286.26/394.90 = 169.75/x
  3. Step 3: Cross multiply
    286.26x = 394.90 × 169.75
  4. Step 4: Simplify right side
    286.26x = 67,034.28
  5. Step 5: Solve for x
    x = 67,034.28/286.26
  6. Step 6: Final answer
    x = 234.17

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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.