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Finding the Fourth Proportional to 263.30, 394.83 and 109.14

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Solution

The fourth proportional to 263.30, 394.83 and 109.14 is: 163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.30 : 394.83 = 109.14 : x
  2. Step 2: Convert to fraction form
    263.30/394.83 = 109.14/x
  3. Step 3: Cross multiply
    263.30x = 394.83 × 109.14
  4. Step 4: Simplify right side
    263.30x = 43,091.75
  5. Step 5: Solve for x
    x = 43,091.75/263.30
  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.