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Finding the Fourth Proportional to 227.40, 311.96 and 213.43

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Solution

The fourth proportional to 227.40, 311.96 and 213.43 is: 292.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.40 : 311.96 = 213.43 : x
  2. Step 2: Convert to fraction form
    227.40/311.96 = 213.43/x
  3. Step 3: Cross multiply
    227.40x = 311.96 × 213.43
  4. Step 4: Simplify right side
    227.40x = 66,581.62
  5. Step 5: Solve for x
    x = 66,581.62/227.40
  6. Step 6: Final answer
    x = 292.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.