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Finding the Fourth Proportional to 422.69, 634.13 and 134.13

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Solution

The fourth proportional to 422.69, 634.13 and 134.13 is: 201.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.69 : 634.13 = 134.13 : x
  2. Step 2: Convert to fraction form
    422.69/634.13 = 134.13/x
  3. Step 3: Cross multiply
    422.69x = 634.13 × 134.13
  4. Step 4: Simplify right side
    422.69x = 85,055.86
  5. Step 5: Solve for x
    x = 85,055.86/422.69
  6. Step 6: Final answer
    x = 201.23

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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.