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Finding the Fourth Proportional to 422.25, 633.41 and 133.69

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Solution

The fourth proportional to 422.25, 633.41 and 133.69 is: 200.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.25 : 633.41 = 133.69 : x
  2. Step 2: Convert to fraction form
    422.25/633.41 = 133.69/x
  3. Step 3: Cross multiply
    422.25x = 633.41 × 133.69
  4. Step 4: Simplify right side
    422.25x = 84,679.33
  5. Step 5: Solve for x
    x = 84,679.33/422.25
  6. Step 6: Final answer
    x = 200.54

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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.