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Finding the Fourth Proportional to 500.16, 749.78 and 226.12

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Solution

The fourth proportional to 500.16, 749.78 and 226.12 is: 338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.16 : 749.78 = 226.12 : x
  2. Step 2: Convert to fraction form
    500.16/749.78 = 226.12/x
  3. Step 3: Cross multiply
    500.16x = 749.78 × 226.12
  4. Step 4: Simplify right side
    500.16x = 169,540.25
  5. Step 5: Solve for x
    x = 169,540.25/500.16
  6. Step 6: Final answer
    x = 338.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.