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Finding the Fourth Proportional to 366.20, 505.49 and 226.34

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Solution

The fourth proportional to 366.20, 505.49 and 226.34 is: 312.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.20 : 505.49 = 226.34 : x
  2. Step 2: Convert to fraction form
    366.20/505.49 = 226.34/x
  3. Step 3: Cross multiply
    366.20x = 505.49 × 226.34
  4. Step 4: Simplify right side
    366.20x = 114,408.95
  5. Step 5: Solve for x
    x = 114,408.95/366.20
  6. Step 6: Final answer
    x = 312.43

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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.