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Finding the Fourth Proportional to 422.60, 633.83 and 162.54

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Solution

The fourth proportional to 422.60, 633.83 and 162.54 is: 243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.60 : 633.83 = 162.54 : x
  2. Step 2: Convert to fraction form
    422.60/633.83 = 162.54/x
  3. Step 3: Cross multiply
    422.60x = 633.83 × 162.54
  4. Step 4: Simplify right side
    422.60x = 103,022.73
  5. Step 5: Solve for x
    x = 103,022.73/422.60
  6. Step 6: Final answer
    x = 243.78

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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.