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Finding the Fourth Proportional to 222.40, 333.82 and 106.92

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Solution

The fourth proportional to 222.40, 333.82 and 106.92 is: 160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.40 : 333.82 = 106.92 : x
  2. Step 2: Convert to fraction form
    222.40/333.82 = 106.92/x
  3. Step 3: Cross multiply
    222.40x = 333.82 × 106.92
  4. Step 4: Simplify right side
    222.40x = 35,692.03
  5. Step 5: Solve for x
    x = 35,692.03/222.40
  6. Step 6: Final answer
    x = 160.49

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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.