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Finding the Fourth Proportional to 422.54, 633.81 and 133.98

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Solution

The fourth proportional to 422.54, 633.81 and 133.98 is: 200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.54 : 633.81 = 133.98 : x
  2. Step 2: Convert to fraction form
    422.54/633.81 = 133.98/x
  3. Step 3: Cross multiply
    422.54x = 633.81 × 133.98
  4. Step 4: Simplify right side
    422.54x = 84,917.86
  5. Step 5: Solve for x
    x = 84,917.86/422.54
  6. Step 6: Final answer
    x = 200.97

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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.