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Finding the Fourth Proportional to 286.24, 394.86 and 203.38

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Solution

The fourth proportional to 286.24, 394.86 and 203.38 is: 280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.24 : 394.86 = 203.38 : x
  2. Step 2: Convert to fraction form
    286.24/394.86 = 203.38/x
  3. Step 3: Cross multiply
    286.24x = 394.86 × 203.38
  4. Step 4: Simplify right side
    286.24x = 80,306.63
  5. Step 5: Solve for x
    x = 80,306.63/286.24
  6. Step 6: Final answer
    x = 280.56

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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.