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Finding the Fourth Proportional to 217.45, 300.07 and 119.21

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Solution

The fourth proportional to 217.45, 300.07 and 119.21 is: 164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.45 : 300.07 = 119.21 : x
  2. Step 2: Convert to fraction form
    217.45/300.07 = 119.21/x
  3. Step 3: Cross multiply
    217.45x = 300.07 × 119.21
  4. Step 4: Simplify right side
    217.45x = 35,771.34
  5. Step 5: Solve for x
    x = 35,771.34/217.45
  6. Step 6: Final answer
    x = 164.50

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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.