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Finding the Fourth Proportional to 227.41, 311.78 and 223.31

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Solution

The fourth proportional to 227.41, 311.78 and 223.31 is: 306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.41 : 311.78 = 223.31 : x
  2. Step 2: Convert to fraction form
    227.41/311.78 = 223.31/x
  3. Step 3: Cross multiply
    227.41x = 311.78 × 223.31
  4. Step 4: Simplify right side
    227.41x = 69,622.92
  5. Step 5: Solve for x
    x = 69,622.92/227.41
  6. Step 6: Final answer
    x = 306.16

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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.