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Finding the Fourth Proportional to 222.57, 334.22 and 137.61

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Solution

The fourth proportional to 222.57, 334.22 and 137.61 is: 206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.57 : 334.22 = 137.61 : x
  2. Step 2: Convert to fraction form
    222.57/334.22 = 137.61/x
  3. Step 3: Cross multiply
    222.57x = 334.22 × 137.61
  4. Step 4: Simplify right side
    222.57x = 45,991.33
  5. Step 5: Solve for x
    x = 45,991.33/222.57
  6. Step 6: Final answer
    x = 206.64

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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.