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Finding the Fourth Proportional to 217.56, 299.81 and 173.16

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Solution

The fourth proportional to 217.56, 299.81 and 173.16 is: 238.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.56 : 299.81 = 173.16 : x
  2. Step 2: Convert to fraction form
    217.56/299.81 = 173.16/x
  3. Step 3: Cross multiply
    217.56x = 299.81 × 173.16
  4. Step 4: Simplify right side
    217.56x = 51,915.53
  5. Step 5: Solve for x
    x = 51,915.53/217.56
  6. Step 6: Final answer
    x = 238.62

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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.