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Finding the Fourth Proportional to 286.30, 395.16 and 169.84

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Solution

The fourth proportional to 286.30, 395.16 and 169.84 is: 234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.30 : 395.16 = 169.84 : x
  2. Step 2: Convert to fraction form
    286.30/395.16 = 169.84/x
  3. Step 3: Cross multiply
    286.30x = 395.16 × 169.84
  4. Step 4: Simplify right side
    286.30x = 67,113.97
  5. Step 5: Solve for x
    x = 67,113.97/286.30
  6. Step 6: Final answer
    x = 234.42

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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.