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Finding the Fourth Proportional to 226.56, 312.56 and 161.12

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Solution

The fourth proportional to 226.56, 312.56 and 161.12 is: 222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.56 : 312.56 = 161.12 : x
  2. Step 2: Convert to fraction form
    226.56/312.56 = 161.12/x
  3. Step 3: Cross multiply
    226.56x = 312.56 × 161.12
  4. Step 4: Simplify right side
    226.56x = 50,359.67
  5. Step 5: Solve for x
    x = 50,359.67/226.56
  6. Step 6: Final answer
    x = 222.28

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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.