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Finding the Fourth Proportional to 300.42, 414.54 and 169.42

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Solution

The fourth proportional to 300.42, 414.54 and 169.42 is: 233.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.42 : 414.54 = 169.42 : x
  2. Step 2: Convert to fraction form
    300.42/414.54 = 169.42/x
  3. Step 3: Cross multiply
    300.42x = 414.54 × 169.42
  4. Step 4: Simplify right side
    300.42x = 70,231.37
  5. Step 5: Solve for x
    x = 70,231.37/300.42
  6. Step 6: Final answer
    x = 233.78

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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.