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Finding the Fourth Proportional to 367.50, 506.82 and 227.59

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Solution

The fourth proportional to 367.50, 506.82 and 227.59 is: 313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.50 : 506.82 = 227.59 : x
  2. Step 2: Convert to fraction form
    367.50/506.82 = 227.59/x
  3. Step 3: Cross multiply
    367.50x = 506.82 × 227.59
  4. Step 4: Simplify right side
    367.50x = 115,347.16
  5. Step 5: Solve for x
    x = 115,347.16/367.50
  6. Step 6: Final answer
    x = 313.87

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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.