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Finding the Fourth Proportional to 226.49, 311.87 and 205.63

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Solution

The fourth proportional to 226.49, 311.87 and 205.63 is: 283.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.49 : 311.87 = 205.63 : x
  2. Step 2: Convert to fraction form
    226.49/311.87 = 205.63/x
  3. Step 3: Cross multiply
    226.49x = 311.87 × 205.63
  4. Step 4: Simplify right side
    226.49x = 64,128.80
  5. Step 5: Solve for x
    x = 64,128.80/226.49
  6. Step 6: Final answer
    x = 283.15

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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.