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Finding the Fourth Proportional to 262.91, 394.54 and 108.97

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Solution

The fourth proportional to 262.91, 394.54 and 108.97 is: 163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.91 : 394.54 = 108.97 : x
  2. Step 2: Convert to fraction form
    262.91/394.54 = 108.97/x
  3. Step 3: Cross multiply
    262.91x = 394.54 × 108.97
  4. Step 4: Simplify right side
    262.91x = 42,993.02
  5. Step 5: Solve for x
    x = 42,993.02/262.91
  6. Step 6: Final answer
    x = 163.53

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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.