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Finding the Fourth Proportional to 217.99, 300.83 and 119.75

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Solution

The fourth proportional to 217.99, 300.83 and 119.75 is: 165.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.99 : 300.83 = 119.75 : x
  2. Step 2: Convert to fraction form
    217.99/300.83 = 119.75/x
  3. Step 3: Cross multiply
    217.99x = 300.83 × 119.75
  4. Step 4: Simplify right side
    217.99x = 36,024.30
  5. Step 5: Solve for x
    x = 36,024.30/217.99
  6. Step 6: Final answer
    x = 165.25

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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.