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Finding the Fourth Proportional to 217.74, 300.46 and 119.50

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Solution

The fourth proportional to 217.74, 300.46 and 119.50 is: 164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.74 : 300.46 = 119.50 : x
  2. Step 2: Convert to fraction form
    217.74/300.46 = 119.50/x
  3. Step 3: Cross multiply
    217.74x = 300.46 × 119.50
  4. Step 4: Simplify right side
    217.74x = 35,902.87
  5. Step 5: Solve for x
    x = 35,902.87/217.74
  6. Step 6: Final answer
    x = 164.89

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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.