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Finding the Fourth Proportional to 263.19, 394.91 and 109.22

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Solution

The fourth proportional to 263.19, 394.91 and 109.22 is: 163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.19 : 394.91 = 109.22 : x
  2. Step 2: Convert to fraction form
    263.19/394.91 = 109.22/x
  3. Step 3: Cross multiply
    263.19x = 394.91 × 109.22
  4. Step 4: Simplify right side
    263.19x = 43,132.07
  5. Step 5: Solve for x
    x = 43,132.07/263.19
  6. Step 6: Final answer
    x = 163.88

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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.