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Finding the Fourth Proportional to 216.21, 324.10 and 86.16

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Solution

The fourth proportional to 216.21, 324.10 and 86.16 is: 129.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.21 : 324.10 = 86.16 : x
  2. Step 2: Convert to fraction form
    216.21/324.10 = 86.16/x
  3. Step 3: Cross multiply
    216.21x = 324.10 × 86.16
  4. Step 4: Simplify right side
    216.21x = 27,924.46
  5. Step 5: Solve for x
    x = 27,924.46/216.21
  6. Step 6: Final answer
    x = 129.15

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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.