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Finding the Fourth Proportional to 215.71, 321.87 and 213.64

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Solution

The fourth proportional to 215.71, 321.87 and 213.64 is: 318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.71 : 321.87 = 213.64 : x
  2. Step 2: Convert to fraction form
    215.71/321.87 = 213.64/x
  3. Step 3: Cross multiply
    215.71x = 321.87 × 213.64
  4. Step 4: Simplify right side
    215.71x = 68,764.31
  5. Step 5: Solve for x
    x = 68,764.31/215.71
  6. Step 6: Final answer
    x = 318.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.