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Finding the Fourth Proportional to 222.12, 307.09 and 212.44

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Solution

The fourth proportional to 222.12, 307.09 and 212.44 is: 293.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.12 : 307.09 = 212.44 : x
  2. Step 2: Convert to fraction form
    222.12/307.09 = 212.44/x
  3. Step 3: Cross multiply
    222.12x = 307.09 × 212.44
  4. Step 4: Simplify right side
    222.12x = 65,236.98
  5. Step 5: Solve for x
    x = 65,236.98/222.12
  6. Step 6: Final answer
    x = 293.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.