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Finding the Fourth Proportional to 217.25, 325.93 and 107.59

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Solution

The fourth proportional to 217.25, 325.93 and 107.59 is: 161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.25 : 325.93 = 107.59 : x
  2. Step 2: Convert to fraction form
    217.25/325.93 = 107.59/x
  3. Step 3: Cross multiply
    217.25x = 325.93 × 107.59
  4. Step 4: Simplify right side
    217.25x = 35,066.27
  5. Step 5: Solve for x
    x = 35,066.27/217.25
  6. Step 6: Final answer
    x = 161.41

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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.