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Finding the Fourth Proportional to 217.69, 300.41 and 119.45

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Solution

The fourth proportional to 217.69, 300.41 and 119.45 is: 164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.69 : 300.41 = 119.45 : x
  2. Step 2: Convert to fraction form
    217.69/300.41 = 119.45/x
  3. Step 3: Cross multiply
    217.69x = 300.41 × 119.45
  4. Step 4: Simplify right side
    217.69x = 35,883.73
  5. Step 5: Solve for x
    x = 35,883.73/217.69
  6. Step 6: Final answer
    x = 164.84

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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.