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Finding the Fourth Proportional to 217.72, 326.16 and 121.60

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Solution

The fourth proportional to 217.72, 326.16 and 121.60 is: 182.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.72 : 326.16 = 121.60 : x
  2. Step 2: Convert to fraction form
    217.72/326.16 = 121.60/x
  3. Step 3: Cross multiply
    217.72x = 326.16 × 121.60
  4. Step 4: Simplify right side
    217.72x = 39,661.06
  5. Step 5: Solve for x
    x = 39,661.06/217.72
  6. Step 6: Final answer
    x = 182.17

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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.