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Finding the Fourth Proportional to 300.14, 414.20 and 169.14

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Solution

The fourth proportional to 300.14, 414.20 and 169.14 is: 233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.14 : 414.20 = 169.14 : x
  2. Step 2: Convert to fraction form
    300.14/414.20 = 169.14/x
  3. Step 3: Cross multiply
    300.14x = 414.20 × 169.14
  4. Step 4: Simplify right side
    300.14x = 70,057.79
  5. Step 5: Solve for x
    x = 70,057.79/300.14
  6. Step 6: Final answer
    x = 233.42

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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.