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Finding the Fourth Proportional to 367.06, 506.35 and 227.13

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Solution

The fourth proportional to 367.06, 506.35 and 227.13 is: 313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.06 : 506.35 = 227.13 : x
  2. Step 2: Convert to fraction form
    367.06/506.35 = 227.13/x
  3. Step 3: Cross multiply
    367.06x = 506.35 × 227.13
  4. Step 4: Simplify right side
    367.06x = 115,007.28
  5. Step 5: Solve for x
    x = 115,007.28/367.06
  6. Step 6: Final answer
    x = 313.32

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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.