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Finding the Fourth Proportional to 217.44, 300.08 and 165.13

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Solution

The fourth proportional to 217.44, 300.08 and 165.13 is: 227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.44 : 300.08 = 165.13 : x
  2. Step 2: Convert to fraction form
    217.44/300.08 = 165.13/x
  3. Step 3: Cross multiply
    217.44x = 300.08 × 165.13
  4. Step 4: Simplify right side
    217.44x = 49,551.87
  5. Step 5: Solve for x
    x = 49,551.87/217.44
  6. Step 6: Final answer
    x = 227.89

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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.