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Finding the Fourth Proportional to 227.25, 338.81 and 213.48

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Solution

The fourth proportional to 227.25, 338.81 and 213.48 is: 318.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.25 : 338.81 = 213.48 : x
  2. Step 2: Convert to fraction form
    227.25/338.81 = 213.48/x
  3. Step 3: Cross multiply
    227.25x = 338.81 × 213.48
  4. Step 4: Simplify right side
    227.25x = 72,329.69
  5. Step 5: Solve for x
    x = 72,329.69/227.25
  6. Step 6: Final answer
    x = 318.28

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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.