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Finding the Fourth Proportional to 300.39, 414.56 and 169.42

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Solution

The fourth proportional to 300.39, 414.56 and 169.42 is: 233.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.39 : 414.56 = 169.42 : x
  2. Step 2: Convert to fraction form
    300.39/414.56 = 169.42/x
  3. Step 3: Cross multiply
    300.39x = 414.56 × 169.42
  4. Step 4: Simplify right side
    300.39x = 70,234.14
  5. Step 5: Solve for x
    x = 70,234.14/300.39
  6. Step 6: Final answer
    x = 233.81

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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.