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Finding the Fourth Proportional to 226.21, 337.37 and 204.34

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Solution

The fourth proportional to 226.21, 337.37 and 204.34 is: 304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.21 : 337.37 = 204.34 : x
  2. Step 2: Convert to fraction form
    226.21/337.37 = 204.34/x
  3. Step 3: Cross multiply
    226.21x = 337.37 × 204.34
  4. Step 4: Simplify right side
    226.21x = 68,936.95
  5. Step 5: Solve for x
    x = 68,936.95/226.21
  6. Step 6: Final answer
    x = 304.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.