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Finding the Fourth Proportional to 263.82, 363.18 and 226.77

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Solution

The fourth proportional to 263.82, 363.18 and 226.77 is: 312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.82 : 363.18 = 226.77 : x
  2. Step 2: Convert to fraction form
    263.82/363.18 = 226.77/x
  3. Step 3: Cross multiply
    263.82x = 363.18 × 226.77
  4. Step 4: Simplify right side
    263.82x = 82,357.82
  5. Step 5: Solve for x
    x = 82,357.82/263.82
  6. Step 6: Final answer
    x = 312.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.