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Finding the Fourth Proportional to 227.98, 340.03 and 223.12

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Solution

The fourth proportional to 227.98, 340.03 and 223.12 is: 332.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.98 : 340.03 = 223.12 : x
  2. Step 2: Convert to fraction form
    227.98/340.03 = 223.12/x
  3. Step 3: Cross multiply
    227.98x = 340.03 × 223.12
  4. Step 4: Simplify right side
    227.98x = 75,867.49
  5. Step 5: Solve for x
    x = 75,867.49/227.98
  6. Step 6: Final answer
    x = 332.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.