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Finding the Fourth Proportional to 422.50, 633.75 and 133.94

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Solution

The fourth proportional to 422.50, 633.75 and 133.94 is: 200.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.50 : 633.75 = 133.94 : x
  2. Step 2: Convert to fraction form
    422.50/633.75 = 133.94/x
  3. Step 3: Cross multiply
    422.50x = 633.75 × 133.94
  4. Step 4: Simplify right side
    422.50x = 84,884.48
  5. Step 5: Solve for x
    x = 84,884.48/422.50
  6. Step 6: Final answer
    x = 200.91

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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.