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Finding the Fourth Proportional to 218.72, 301.87 and 130.21

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Solution

The fourth proportional to 218.72, 301.87 and 130.21 is: 179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.72 : 301.87 = 130.21 : x
  2. Step 2: Convert to fraction form
    218.72/301.87 = 130.21/x
  3. Step 3: Cross multiply
    218.72x = 301.87 × 130.21
  4. Step 4: Simplify right side
    218.72x = 39,305.13
  5. Step 5: Solve for x
    x = 39,305.13/218.72
  6. Step 6: Final answer
    x = 179.71

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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.