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Finding the Fourth Proportional to 222.21, 306.63 and 206.73

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Solution

The fourth proportional to 222.21, 306.63 and 206.73 is: 285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.21 : 306.63 = 206.73 : x
  2. Step 2: Convert to fraction form
    222.21/306.63 = 206.73/x
  3. Step 3: Cross multiply
    222.21x = 306.63 × 206.73
  4. Step 4: Simplify right side
    222.21x = 63,389.62
  5. Step 5: Solve for x
    x = 63,389.62/222.21
  6. Step 6: Final answer
    x = 285.27

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Why These Related Problems?

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