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Finding the Fourth Proportional to 300.44, 414.59 and 169.42

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Solution

The fourth proportional to 300.44, 414.59 and 169.42 is: 233.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.44 : 414.59 = 169.42 : x
  2. Step 2: Convert to fraction form
    300.44/414.59 = 169.42/x
  3. Step 3: Cross multiply
    300.44x = 414.59 × 169.42
  4. Step 4: Simplify right side
    300.44x = 70,237.95
  5. Step 5: Solve for x
    x = 70,237.95/300.44
  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.