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Finding the Fourth Proportional to 216.20, 324.26 and 86.16

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Solution

The fourth proportional to 216.20, 324.26 and 86.16 is: 129.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.20 : 324.26 = 86.16 : x
  2. Step 2: Convert to fraction form
    216.20/324.26 = 86.16/x
  3. Step 3: Cross multiply
    216.20x = 324.26 × 86.16
  4. Step 4: Simplify right side
    216.20x = 27,938.24
  5. Step 5: Solve for x
    x = 27,938.24/216.20
  6. Step 6: Final answer
    x = 129.22

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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.