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Finding the Fourth Proportional to 217.46, 300.08 and 119.21

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Solution

The fourth proportional to 217.46, 300.08 and 119.21 is: 164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.46 : 300.08 = 119.21 : x
  2. Step 2: Convert to fraction form
    217.46/300.08 = 119.21/x
  3. Step 3: Cross multiply
    217.46x = 300.08 × 119.21
  4. Step 4: Simplify right side
    217.46x = 35,771.04
  5. Step 5: Solve for x
    x = 35,771.04/217.46
  6. Step 6: Final answer
    x = 164.50

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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.