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Finding the Fourth Proportional to 217.94, 300.75 and 119.69

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Solution

The fourth proportional to 217.94, 300.75 and 119.69 is: 165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.94 : 300.75 = 119.69 : x
  2. Step 2: Convert to fraction form
    217.94/300.75 = 119.69/x
  3. Step 3: Cross multiply
    217.94x = 300.75 × 119.69
  4. Step 4: Simplify right side
    217.94x = 35,995.94
  5. Step 5: Solve for x
    x = 35,995.94/217.94
  6. Step 6: Final answer
    x = 165.17

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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.