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Finding the Fourth Proportional to 222.67, 307.27 and 123.09

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Solution

The fourth proportional to 222.67, 307.27 and 123.09 is: 169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.67 : 307.27 = 123.09 : x
  2. Step 2: Convert to fraction form
    222.67/307.27 = 123.09/x
  3. Step 3: Cross multiply
    222.67x = 307.27 × 123.09
  4. Step 4: Simplify right side
    222.67x = 37,821.56
  5. Step 5: Solve for x
    x = 37,821.56/222.67
  6. Step 6: Final answer
    x = 169.86

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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.