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Finding the Fourth Proportional to 366.82, 506.22 and 226.96

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Solution

The fourth proportional to 366.82, 506.22 and 226.96 is: 313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.82 : 506.22 = 226.96 : x
  2. Step 2: Convert to fraction form
    366.82/506.22 = 226.96/x
  3. Step 3: Cross multiply
    366.82x = 506.22 × 226.96
  4. Step 4: Simplify right side
    366.82x = 114,891.69
  5. Step 5: Solve for x
    x = 114,891.69/366.82
  6. Step 6: Final answer
    x = 313.21

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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.