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Finding the Fourth Proportional to 222.73, 334.12 and 107.23

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Solution

The fourth proportional to 222.73, 334.12 and 107.23 is: 160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.73 : 334.12 = 107.23 : x
  2. Step 2: Convert to fraction form
    222.73/334.12 = 107.23/x
  3. Step 3: Cross multiply
    222.73x = 334.12 × 107.23
  4. Step 4: Simplify right side
    222.73x = 35,827.15
  5. Step 5: Solve for x
    x = 35,827.15/222.73
  6. Step 6: Final answer
    x = 160.85

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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.