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Finding the Fourth Proportional to 367.82, 507.69 and 227.86

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Solution

The fourth proportional to 367.82, 507.69 and 227.86 is: 314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.82 : 507.69 = 227.86 : x
  2. Step 2: Convert to fraction form
    367.82/507.69 = 227.86/x
  3. Step 3: Cross multiply
    367.82x = 507.69 × 227.86
  4. Step 4: Simplify right side
    367.82x = 115,680.97
  5. Step 5: Solve for x
    x = 115,680.97/367.82
  6. Step 6: Final answer
    x = 314.50

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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.