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Finding the Fourth Proportional to 299.77, 414.09 and 226.41

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Solution

The fourth proportional to 299.77, 414.09 and 226.41 is: 312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.77 : 414.09 = 226.41 : x
  2. Step 2: Convert to fraction form
    299.77/414.09 = 226.41/x
  3. Step 3: Cross multiply
    299.77x = 414.09 × 226.41
  4. Step 4: Simplify right side
    299.77x = 93,754.12
  5. Step 5: Solve for x
    x = 93,754.12/299.77
  6. Step 6: Final answer
    x = 312.75

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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.