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Finding the Fourth Proportional to 217.32, 325.44 and 163.08

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Solution

The fourth proportional to 217.32, 325.44 and 163.08 is: 244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.32 : 325.44 = 163.08 : x
  2. Step 2: Convert to fraction form
    217.32/325.44 = 163.08/x
  3. Step 3: Cross multiply
    217.32x = 325.44 × 163.08
  4. Step 4: Simplify right side
    217.32x = 53,072.76
  5. Step 5: Solve for x
    x = 53,072.76/217.32
  6. Step 6: Final answer
    x = 244.21

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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.