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Finding the Fourth Proportional to 216.87, 325.02 and 163.14

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Solution

The fourth proportional to 216.87, 325.02 and 163.14 is: 244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.87 : 325.02 = 163.14 : x
  2. Step 2: Convert to fraction form
    216.87/325.02 = 163.14/x
  3. Step 3: Cross multiply
    216.87x = 325.02 × 163.14
  4. Step 4: Simplify right side
    216.87x = 53,023.76
  5. Step 5: Solve for x
    x = 53,023.76/216.87
  6. Step 6: Final answer
    x = 244.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.