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Finding the Fourth Proportional to 285.97, 394.74 and 203.32

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Solution

The fourth proportional to 285.97, 394.74 and 203.32 is: 280.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.97 : 394.74 = 203.32 : x
  2. Step 2: Convert to fraction form
    285.97/394.74 = 203.32/x
  3. Step 3: Cross multiply
    285.97x = 394.74 × 203.32
  4. Step 4: Simplify right side
    285.97x = 80,257.49
  5. Step 5: Solve for x
    x = 80,257.49/285.97
  6. Step 6: Final answer
    x = 280.65

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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.