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Finding the Fourth Proportional to 422.20, 633.16 and 205.64

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Solution

The fourth proportional to 422.20, 633.16 and 205.64 is: 308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.20 : 633.16 = 205.64 : x
  2. Step 2: Convert to fraction form
    422.20/633.16 = 205.64/x
  3. Step 3: Cross multiply
    422.20x = 633.16 × 205.64
  4. Step 4: Simplify right side
    422.20x = 130,203.02
  5. Step 5: Solve for x
    x = 130,203.02/422.20
  6. Step 6: Final answer
    x = 308.39

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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.