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Finding the Fourth Proportional to 367.78, 507.60 and 227.92

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Solution

The fourth proportional to 367.78, 507.60 and 227.92 is: 314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.78 : 507.60 = 227.92 : x
  2. Step 2: Convert to fraction form
    367.78/507.60 = 227.92/x
  3. Step 3: Cross multiply
    367.78x = 507.60 × 227.92
  4. Step 4: Simplify right side
    367.78x = 115,692.19
  5. Step 5: Solve for x
    x = 115,692.19/367.78
  6. Step 6: Final answer
    x = 314.57

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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.