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Finding the Fourth Proportional to 300.41, 414.56 and 169.41

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Solution

The fourth proportional to 300.41, 414.56 and 169.41 is: 233.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.41 : 414.56 = 169.41 : x
  2. Step 2: Convert to fraction form
    300.41/414.56 = 169.41/x
  3. Step 3: Cross multiply
    300.41x = 414.56 × 169.41
  4. Step 4: Simplify right side
    300.41x = 70,231.03
  5. Step 5: Solve for x
    x = 70,231.03/300.41
  6. Step 6: Final answer
    x = 233.79

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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.