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Finding the Fourth Proportional to 217.56, 300.18 and 160.80

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Solution

The fourth proportional to 217.56, 300.18 and 160.80 is: 221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.56 : 300.18 = 160.80 : x
  2. Step 2: Convert to fraction form
    217.56/300.18 = 160.80/x
  3. Step 3: Cross multiply
    217.56x = 300.18 × 160.80
  4. Step 4: Simplify right side
    217.56x = 48,268.94
  5. Step 5: Solve for x
    x = 48,268.94/217.56
  6. Step 6: Final answer
    x = 221.86

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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.