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Finding the Fourth Proportional to 227.24, 313.71 and 144.43

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Solution

The fourth proportional to 227.24, 313.71 and 144.43 is: 199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.24 : 313.71 = 144.43 : x
  2. Step 2: Convert to fraction form
    227.24/313.71 = 144.43/x
  3. Step 3: Cross multiply
    227.24x = 313.71 × 144.43
  4. Step 4: Simplify right side
    227.24x = 45,309.14
  5. Step 5: Solve for x
    x = 45,309.14/227.24
  6. Step 6: Final answer
    x = 199.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.