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Finding the Fourth Proportional to 286.98, 394.82 and 250.22

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Solution

The fourth proportional to 286.98, 394.82 and 250.22 is: 344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.98 : 394.82 = 250.22 : x
  2. Step 2: Convert to fraction form
    286.98/394.82 = 250.22/x
  3. Step 3: Cross multiply
    286.98x = 394.82 × 250.22
  4. Step 4: Simplify right side
    286.98x = 98,793.94
  5. Step 5: Solve for x
    x = 98,793.94/286.98
  6. Step 6: Final answer
    x = 344.26

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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.