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Finding the Fourth Proportional to 213.21, 319.82 and 159.15

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Solution

The fourth proportional to 213.21, 319.82 and 159.15 is: 238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.21 : 319.82 = 159.15 : x
  2. Step 2: Convert to fraction form
    213.21/319.82 = 159.15/x
  3. Step 3: Cross multiply
    213.21x = 319.82 × 159.15
  4. Step 4: Simplify right side
    213.21x = 50,898.56
  5. Step 5: Solve for x
    x = 50,898.56/213.21
  6. Step 6: Final answer
    x = 238.73

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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.