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Finding the Fourth Proportional to 222.62, 333.09 and 200.16

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Solution

The fourth proportional to 222.62, 333.09 and 200.16 is: 299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.62 : 333.09 = 200.16 : x
  2. Step 2: Convert to fraction form
    222.62/333.09 = 200.16/x
  3. Step 3: Cross multiply
    222.62x = 333.09 × 200.16
  4. Step 4: Simplify right side
    222.62x = 66,671.29
  5. Step 5: Solve for x
    x = 66,671.29/222.62
  6. Step 6: Final answer
    x = 299.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.