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Finding the Fourth Proportional to 215.07, 324.15 and 213.24

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Solution

The fourth proportional to 215.07, 324.15 and 213.24 is: 321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.07 : 324.15 = 213.24 : x
  2. Step 2: Convert to fraction form
    215.07/324.15 = 213.24/x
  3. Step 3: Cross multiply
    215.07x = 324.15 × 213.24
  4. Step 4: Simplify right side
    215.07x = 69,121.75
  5. Step 5: Solve for x
    x = 69,121.75/215.07
  6. Step 6: Final answer
    x = 321.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.