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Finding the Fourth Proportional to 212.92, 294.12 and 204.04

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Solution

The fourth proportional to 212.92, 294.12 and 204.04 is: 281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.92 : 294.12 = 204.04 : x
  2. Step 2: Convert to fraction form
    212.92/294.12 = 204.04/x
  3. Step 3: Cross multiply
    212.92x = 294.12 × 204.04
  4. Step 4: Simplify right side
    212.92x = 60,012.24
  5. Step 5: Solve for x
    x = 60,012.24/212.92
  6. Step 6: Final answer
    x = 281.85

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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.