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Finding the Fourth Proportional to 367.14, 506.58 and 227.22

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Solution

The fourth proportional to 367.14, 506.58 and 227.22 is: 313.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.14 : 506.58 = 227.22 : x
  2. Step 2: Convert to fraction form
    367.14/506.58 = 227.22/x
  3. Step 3: Cross multiply
    367.14x = 506.58 × 227.22
  4. Step 4: Simplify right side
    367.14x = 115,105.11
  5. Step 5: Solve for x
    x = 115,105.11/367.14
  6. Step 6: Final answer
    x = 313.52

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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.