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Finding the Fourth Proportional to 222.75, 306.99 and 196.29

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Solution

The fourth proportional to 222.75, 306.99 and 196.29 is: 270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.75 : 306.99 = 196.29 : x
  2. Step 2: Convert to fraction form
    222.75/306.99 = 196.29/x
  3. Step 3: Cross multiply
    222.75x = 306.99 × 196.29
  4. Step 4: Simplify right side
    222.75x = 60,259.07
  5. Step 5: Solve for x
    x = 60,259.07/222.75
  6. Step 6: Final answer
    x = 270.52

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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.