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Finding the Fourth Proportional to 226.55, 312.86 and 161.39

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Solution

The fourth proportional to 226.55, 312.86 and 161.39 is: 222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.55 : 312.86 = 161.39 : x
  2. Step 2: Convert to fraction form
    226.55/312.86 = 161.39/x
  3. Step 3: Cross multiply
    226.55x = 312.86 × 161.39
  4. Step 4: Simplify right side
    226.55x = 50,493.66
  5. Step 5: Solve for x
    x = 50,493.66/226.55
  6. Step 6: Final answer
    x = 222.88

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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.