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Finding the Fourth Proportional to 217.68, 299.99 and 170.94

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Solution

The fourth proportional to 217.68, 299.99 and 170.94 is: 235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.68 : 299.99 = 170.94 : x
  2. Step 2: Convert to fraction form
    217.68/299.99 = 170.94/x
  3. Step 3: Cross multiply
    217.68x = 299.99 × 170.94
  4. Step 4: Simplify right side
    217.68x = 51,279.44
  5. Step 5: Solve for x
    x = 51,279.44/217.68
  6. Step 6: Final answer
    x = 235.57

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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.