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Finding the Fourth Proportional to 222.82, 334.25 and 107.29

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Solution

The fourth proportional to 222.82, 334.25 and 107.29 is: 160.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.82 : 334.25 = 107.29 : x
  2. Step 2: Convert to fraction form
    222.82/334.25 = 107.29/x
  3. Step 3: Cross multiply
    222.82x = 334.25 × 107.29
  4. Step 4: Simplify right side
    222.82x = 35,861.68
  5. Step 5: Solve for x
    x = 35,861.68/222.82
  6. Step 6: Final answer
    x = 160.94

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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.