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Finding the Fourth Proportional to 367.10, 506.48 and 227.33

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Solution

The fourth proportional to 367.10, 506.48 and 227.33 is: 313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.10 : 506.48 = 227.33 : x
  2. Step 2: Convert to fraction form
    367.10/506.48 = 227.33/x
  3. Step 3: Cross multiply
    367.10x = 506.48 × 227.33
  4. Step 4: Simplify right side
    367.10x = 115,138.10
  5. Step 5: Solve for x
    x = 115,138.10/367.10
  6. Step 6: Final answer
    x = 313.64

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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.