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Finding the Fourth Proportional to 300.97, 415.31 and 169.95

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Solution

The fourth proportional to 300.97, 415.31 and 169.95 is: 234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.97 : 415.31 = 169.95 : x
  2. Step 2: Convert to fraction form
    300.97/415.31 = 169.95/x
  3. Step 3: Cross multiply
    300.97x = 415.31 × 169.95
  4. Step 4: Simplify right side
    300.97x = 70,581.93
  5. Step 5: Solve for x
    x = 70,581.93/300.97
  6. Step 6: Final answer
    x = 234.51

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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.