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Finding the Fourth Proportional to 263.22, 394.81 and 109.11

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Solution

The fourth proportional to 263.22, 394.81 and 109.11 is: 163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.22 : 394.81 = 109.11 : x
  2. Step 2: Convert to fraction form
    263.22/394.81 = 109.11/x
  3. Step 3: Cross multiply
    263.22x = 394.81 × 109.11
  4. Step 4: Simplify right side
    263.22x = 43,077.72
  5. Step 5: Solve for x
    x = 43,077.72/263.22
  6. Step 6: Final answer
    x = 163.66

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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.