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Finding the Fourth Proportional to 286.30, 394.61 and 203.29

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Solution

The fourth proportional to 286.30, 394.61 and 203.29 is: 280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.30 : 394.61 = 203.29 : x
  2. Step 2: Convert to fraction form
    286.30/394.61 = 203.29/x
  3. Step 3: Cross multiply
    286.30x = 394.61 × 203.29
  4. Step 4: Simplify right side
    286.30x = 80,220.27
  5. Step 5: Solve for x
    x = 80,220.27/286.30
  6. Step 6: Final answer
    x = 280.20

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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.