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Finding the Fourth Proportional to 367.11, 506.75 and 227.34

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Solution

The fourth proportional to 367.11, 506.75 and 227.34 is: 313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.11 : 506.75 = 227.34 : x
  2. Step 2: Convert to fraction form
    367.11/506.75 = 227.34/x
  3. Step 3: Cross multiply
    367.11x = 506.75 × 227.34
  4. Step 4: Simplify right side
    367.11x = 115,204.55
  5. Step 5: Solve for x
    x = 115,204.55/367.11
  6. Step 6: Final answer
    x = 313.81

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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.