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Finding the Fourth Proportional to 422.14, 633.33 and 129.66

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Solution

The fourth proportional to 422.14, 633.33 and 129.66 is: 194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.14 : 633.33 = 129.66 : x
  2. Step 2: Convert to fraction form
    422.14/633.33 = 129.66/x
  3. Step 3: Cross multiply
    422.14x = 633.33 × 129.66
  4. Step 4: Simplify right side
    422.14x = 82,117.57
  5. Step 5: Solve for x
    x = 82,117.57/422.14
  6. Step 6: Final answer
    x = 194.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.