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Finding the Fourth Proportional to 217.34, 299.90 and 119.09

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Solution

The fourth proportional to 217.34, 299.90 and 119.09 is: 164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.34 : 299.90 = 119.09 : x
  2. Step 2: Convert to fraction form
    217.34/299.90 = 119.09/x
  3. Step 3: Cross multiply
    217.34x = 299.90 × 119.09
  4. Step 4: Simplify right side
    217.34x = 35,713.89
  5. Step 5: Solve for x
    x = 35,713.89/217.34
  6. Step 6: Final answer
    x = 164.33

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Why These Related Problems?

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