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Finding the Fourth Proportional to 263.86, 395.92 and 109.76

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Solution

The fourth proportional to 263.86, 395.92 and 109.76 is: 164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.86 : 395.92 = 109.76 : x
  2. Step 2: Convert to fraction form
    263.86/395.92 = 109.76/x
  3. Step 3: Cross multiply
    263.86x = 395.92 × 109.76
  4. Step 4: Simplify right side
    263.86x = 43,454.34
  5. Step 5: Solve for x
    x = 43,454.34/263.86
  6. Step 6: Final answer
    x = 164.69

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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.