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Finding the Fourth Proportional to 367.14, 506.74 and 227.46

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Solution

The fourth proportional to 367.14, 506.74 and 227.46 is: 313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.14 : 506.74 = 227.46 : x
  2. Step 2: Convert to fraction form
    367.14/506.74 = 227.46/x
  3. Step 3: Cross multiply
    367.14x = 506.74 × 227.46
  4. Step 4: Simplify right side
    367.14x = 115,263.08
  5. Step 5: Solve for x
    x = 115,263.08/367.14
  6. Step 6: Final answer
    x = 313.95

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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.