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Finding the Fourth Proportional to 422.18, 633.07 and 190.91

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Solution

The fourth proportional to 422.18, 633.07 and 190.91 is: 286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.18 : 633.07 = 190.91 : x
  2. Step 2: Convert to fraction form
    422.18/633.07 = 190.91/x
  3. Step 3: Cross multiply
    422.18x = 633.07 × 190.91
  4. Step 4: Simplify right side
    422.18x = 120,859.39
  5. Step 5: Solve for x
    x = 120,859.39/422.18
  6. Step 6: Final answer
    x = 286.27

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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.