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Finding the Fourth Proportional to 217.94, 300.56 and 164.90

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Solution

The fourth proportional to 217.94, 300.56 and 164.90 is: 227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.94 : 300.56 = 164.90 : x
  2. Step 2: Convert to fraction form
    217.94/300.56 = 164.90/x
  3. Step 3: Cross multiply
    217.94x = 300.56 × 164.90
  4. Step 4: Simplify right side
    217.94x = 49,560.84
  5. Step 5: Solve for x
    x = 49,560.84/217.94
  6. Step 6: Final answer
    x = 227.41

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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.