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Finding the Fourth Proportional to 422, 633 and 133.46

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Solution

The fourth proportional to 422, 633 and 133.46 is: 200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    422 : 633 = 133.46 : x
  2. Step 2: Convert to fraction form
    422/633 = 133.46/x
  3. Step 3: Cross multiply
    422x = 633 × 133.46
  4. Step 4: Simplify right side
    422x = 84,480.18
  5. Step 5: Solve for x
    x = 84,480.18/422
  6. Step 6: Final answer
    x = 200.19

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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.