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Finding the Fourth Proportional to 299.74, 414.24 and 226.03

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Solution

The fourth proportional to 299.74, 414.24 and 226.03 is: 312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.74 : 414.24 = 226.03 : x
  2. Step 2: Convert to fraction form
    299.74/414.24 = 226.03/x
  3. Step 3: Cross multiply
    299.74x = 414.24 × 226.03
  4. Step 4: Simplify right side
    299.74x = 93,630.67
  5. Step 5: Solve for x
    x = 93,630.67/299.74
  6. Step 6: Final answer
    x = 312.37

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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.