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Finding the Fourth Proportional to 218.26, 301.14 and 129.73

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Solution

The fourth proportional to 218.26, 301.14 and 129.73 is: 178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.26 : 301.14 = 129.73 : x
  2. Step 2: Convert to fraction form
    218.26/301.14 = 129.73/x
  3. Step 3: Cross multiply
    218.26x = 301.14 × 129.73
  4. Step 4: Simplify right side
    218.26x = 39,066.24
  5. Step 5: Solve for x
    x = 39,066.24/218.26
  6. Step 6: Final answer
    x = 178.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.