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Finding the Fourth Proportional to 422.61, 633.82 and 114.49

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Solution

The fourth proportional to 422.61, 633.82 and 114.49 is: 171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.61 : 633.82 = 114.49 : x
  2. Step 2: Convert to fraction form
    422.61/633.82 = 114.49/x
  3. Step 3: Cross multiply
    422.61x = 633.82 × 114.49
  4. Step 4: Simplify right side
    422.61x = 72,566.05
  5. Step 5: Solve for x
    x = 72,566.05/422.61
  6. Step 6: Final answer
    x = 171.71

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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.