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Finding the Fourth Proportional to 422.82, 634.23 and 162.95

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Solution

The fourth proportional to 422.82, 634.23 and 162.95 is: 244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.82 : 634.23 = 162.95 : x
  2. Step 2: Convert to fraction form
    422.82/634.23 = 162.95/x
  3. Step 3: Cross multiply
    422.82x = 634.23 × 162.95
  4. Step 4: Simplify right side
    422.82x = 103,344.61
  5. Step 5: Solve for x
    x = 103,344.61/422.82
  6. Step 6: Final answer
    x = 244.42

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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.