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Finding the Fourth Proportional to 422.12, 633.26 and 178.64

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Solution

The fourth proportional to 422.12, 633.26 and 178.64 is: 267.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.12 : 633.26 = 178.64 : x
  2. Step 2: Convert to fraction form
    422.12/633.26 = 178.64/x
  3. Step 3: Cross multiply
    422.12x = 633.26 × 178.64
  4. Step 4: Simplify right side
    422.12x = 113,125.57
  5. Step 5: Solve for x
    x = 113,125.57/422.12
  6. Step 6: Final answer
    x = 267.99

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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.