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Finding the Fourth Proportional to 279.56, 385.32 and 213.92

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Solution

The fourth proportional to 279.56, 385.32 and 213.92 is: 294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.56 : 385.32 = 213.92 : x
  2. Step 2: Convert to fraction form
    279.56/385.32 = 213.92/x
  3. Step 3: Cross multiply
    279.56x = 385.32 × 213.92
  4. Step 4: Simplify right side
    279.56x = 82,427.65
  5. Step 5: Solve for x
    x = 82,427.65/279.56
  6. Step 6: Final answer
    x = 294.85

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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.