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Finding the Fourth Proportional to 367.16, 506.57 and 227.16

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Solution

The fourth proportional to 367.16, 506.57 and 227.16 is: 313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.16 : 506.57 = 227.16 : x
  2. Step 2: Convert to fraction form
    367.16/506.57 = 227.16/x
  3. Step 3: Cross multiply
    367.16x = 506.57 × 227.16
  4. Step 4: Simplify right side
    367.16x = 115,071.31
  5. Step 5: Solve for x
    x = 115,071.31/367.16
  6. Step 6: Final answer
    x = 313.41

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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.