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Finding the Fourth Proportional to 217.30, 325.67 and 165.75

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Solution

The fourth proportional to 217.30, 325.67 and 165.75 is: 248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.30 : 325.67 = 165.75 : x
  2. Step 2: Convert to fraction form
    217.30/325.67 = 165.75/x
  3. Step 3: Cross multiply
    217.30x = 325.67 × 165.75
  4. Step 4: Simplify right side
    217.30x = 53,978.97
  5. Step 5: Solve for x
    x = 53,978.97/217.30
  6. Step 6: Final answer
    x = 248.41

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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.