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Finding the Fourth Proportional to 300, 414.14 and 226.34

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Solution

The fourth proportional to 300, 414.14 and 226.34 is: 312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    300 : 414.14 = 226.34 : x
  2. Step 2: Convert to fraction form
    300/414.14 = 226.34/x
  3. Step 3: Cross multiply
    300x = 414.14 × 226.34
  4. Step 4: Simplify right side
    300x = 93,736.45
  5. Step 5: Solve for x
    x = 93,736.45/300
  6. Step 6: Final answer
    x = 312.45

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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.