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Finding the Fourth Proportional to 215.96, 324.20 and 205.19

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Solution

The fourth proportional to 215.96, 324.20 and 205.19 is: 308.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.96 : 324.20 = 205.19 : x
  2. Step 2: Convert to fraction form
    215.96/324.20 = 205.19/x
  3. Step 3: Cross multiply
    215.96x = 324.20 × 205.19
  4. Step 4: Simplify right side
    215.96x = 66,522.60
  5. Step 5: Solve for x
    x = 66,522.60/215.96
  6. Step 6: Final answer
    x = 308.03

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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.