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Finding the Fourth Proportional to 227.43, 338.79 and 220.63

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Solution

The fourth proportional to 227.43, 338.79 and 220.63 is: 328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.43 : 338.79 = 220.63 : x
  2. Step 2: Convert to fraction form
    227.43/338.79 = 220.63/x
  3. Step 3: Cross multiply
    227.43x = 338.79 × 220.63
  4. Step 4: Simplify right side
    227.43x = 74,747.24
  5. Step 5: Solve for x
    x = 74,747.24/227.43
  6. Step 6: Final answer
    x = 328.66

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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.