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Finding the Fourth Proportional to 323.97, 485.86 and 107.50

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Solution

The fourth proportional to 323.97, 485.86 and 107.50 is: 161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.97 : 485.86 = 107.50 : x
  2. Step 2: Convert to fraction form
    323.97/485.86 = 107.50/x
  3. Step 3: Cross multiply
    323.97x = 485.86 × 107.50
  4. Step 4: Simplify right side
    323.97x = 52,229.95
  5. Step 5: Solve for x
    x = 52,229.95/323.97
  6. Step 6: Final answer
    x = 161.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.