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Finding the Fourth Proportional to 222.89, 334.34 and 68.81

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Solution

The fourth proportional to 222.89, 334.34 and 68.81 is: 103.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.89 : 334.34 = 68.81 : x
  2. Step 2: Convert to fraction form
    222.89/334.34 = 68.81/x
  3. Step 3: Cross multiply
    222.89x = 334.34 × 68.81
  4. Step 4: Simplify right side
    222.89x = 23,006.94
  5. Step 5: Solve for x
    x = 23,006.94/222.89
  6. Step 6: Final answer
    x = 103.22

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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.