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Finding the Fourth Proportional to 217.21, 299.75 and 118.97

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Solution

The fourth proportional to 217.21, 299.75 and 118.97 is: 164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.21 : 299.75 = 118.97 : x
  2. Step 2: Convert to fraction form
    217.21/299.75 = 118.97/x
  3. Step 3: Cross multiply
    217.21x = 299.75 × 118.97
  4. Step 4: Simplify right side
    217.21x = 35,661.26
  5. Step 5: Solve for x
    x = 35,661.26/217.21
  6. Step 6: Final answer
    x = 164.18

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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.