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Finding the Fourth Proportional to 367.14, 506.67 and 227.34

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Solution

The fourth proportional to 367.14, 506.67 and 227.34 is: 313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.14 : 506.67 = 227.34 : x
  2. Step 2: Convert to fraction form
    367.14/506.67 = 227.34/x
  3. Step 3: Cross multiply
    367.14x = 506.67 × 227.34
  4. Step 4: Simplify right side
    367.14x = 115,186.36
  5. Step 5: Solve for x
    x = 115,186.36/367.14
  6. Step 6: Final answer
    x = 313.74

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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.