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Finding the Fourth Proportional to 300.54, 414.68 and 169.55

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Solution

The fourth proportional to 300.54, 414.68 and 169.55 is: 233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.54 : 414.68 = 169.55 : x
  2. Step 2: Convert to fraction form
    300.54/414.68 = 169.55/x
  3. Step 3: Cross multiply
    300.54x = 414.68 × 169.55
  4. Step 4: Simplify right side
    300.54x = 70,309.18
  5. Step 5: Solve for x
    x = 70,309.18/300.54
  6. Step 6: Final answer
    x = 233.94

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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.