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Finding the Fourth Proportional to 266.54, 367.23 and 222.12

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Solution

The fourth proportional to 266.54, 367.23 and 222.12 is: 306.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.54 : 367.23 = 222.12 : x
  2. Step 2: Convert to fraction form
    266.54/367.23 = 222.12/x
  3. Step 3: Cross multiply
    266.54x = 367.23 × 222.12
  4. Step 4: Simplify right side
    266.54x = 81,568.93
  5. Step 5: Solve for x
    x = 81,568.93/266.54
  6. Step 6: Final answer
    x = 306.03

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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.