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Finding the Fourth Proportional to 226.82, 312.89 and 143.78

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Solution

The fourth proportional to 226.82, 312.89 and 143.78 is: 198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.82 : 312.89 = 143.78 : x
  2. Step 2: Convert to fraction form
    226.82/312.89 = 143.78/x
  3. Step 3: Cross multiply
    226.82x = 312.89 × 143.78
  4. Step 4: Simplify right side
    226.82x = 44,986.21
  5. Step 5: Solve for x
    x = 44,986.21/226.82
  6. Step 6: Final answer
    x = 198.34

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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.