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Finding the Fourth Proportional to 217.54, 300.05 and 164.99

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Solution

The fourth proportional to 217.54, 300.05 and 164.99 is: 227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.54 : 300.05 = 164.99 : x
  2. Step 2: Convert to fraction form
    217.54/300.05 = 164.99/x
  3. Step 3: Cross multiply
    217.54x = 300.05 × 164.99
  4. Step 4: Simplify right side
    217.54x = 49,505.03
  5. Step 5: Solve for x
    x = 49,505.03/217.54
  6. Step 6: Final answer
    x = 227.57

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