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Finding the Fourth Proportional to 300.14, 414.19 and 169.15

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Solution

The fourth proportional to 300.14, 414.19 and 169.15 is: 233.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.14 : 414.19 = 169.15 : x
  2. Step 2: Convert to fraction form
    300.14/414.19 = 169.15/x
  3. Step 3: Cross multiply
    300.14x = 414.19 × 169.15
  4. Step 4: Simplify right side
    300.14x = 70,061.70
  5. Step 5: Solve for x
    x = 70,061.70/300.14
  6. Step 6: Final answer
    x = 233.43

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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.