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Finding the Fourth Proportional to 422.28, 633.31 and 162.09

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Solution

The fourth proportional to 422.28, 633.31 and 162.09 is: 243.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.28 : 633.31 = 162.09 : x
  2. Step 2: Convert to fraction form
    422.28/633.31 = 162.09/x
  3. Step 3: Cross multiply
    422.28x = 633.31 × 162.09
  4. Step 4: Simplify right side
    422.28x = 102,652.81
  5. Step 5: Solve for x
    x = 102,652.81/422.28
  6. Step 6: Final answer
    x = 243.09

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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.