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Finding the Fourth Proportional to 217.57, 300.22 and 159.25

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Solution

The fourth proportional to 217.57, 300.22 and 159.25 is: 219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.57 : 300.22 = 159.25 : x
  2. Step 2: Convert to fraction form
    217.57/300.22 = 159.25/x
  3. Step 3: Cross multiply
    217.57x = 300.22 × 159.25
  4. Step 4: Simplify right side
    217.57x = 47,810.04
  5. Step 5: Solve for x
    x = 47,810.04/217.57
  6. Step 6: Final answer
    x = 219.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.