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Finding the Fourth Proportional to 422.05, 633.04 and 133.57

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Solution

The fourth proportional to 422.05, 633.04 and 133.57 is: 200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.05 : 633.04 = 133.57 : x
  2. Step 2: Convert to fraction form
    422.05/633.04 = 133.57/x
  3. Step 3: Cross multiply
    422.05x = 633.04 × 133.57
  4. Step 4: Simplify right side
    422.05x = 84,555.15
  5. Step 5: Solve for x
    x = 84,555.15/422.05
  6. Step 6: Final answer
    x = 200.34

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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.