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Finding the Fourth Proportional to 216.81, 325.17 and 86.82

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Solution

The fourth proportional to 216.81, 325.17 and 86.82 is: 130.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.81 : 325.17 = 86.82 : x
  2. Step 2: Convert to fraction form
    216.81/325.17 = 86.82/x
  3. Step 3: Cross multiply
    216.81x = 325.17 × 86.82
  4. Step 4: Simplify right side
    216.81x = 28,231.26
  5. Step 5: Solve for x
    x = 28,231.26/216.81
  6. Step 6: Final answer
    x = 130.21

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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.