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Finding the Fourth Proportional to 217.81, 300.67 and 144.23

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Solution

The fourth proportional to 217.81, 300.67 and 144.23 is: 199.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.81 : 300.67 = 144.23 : x
  2. Step 2: Convert to fraction form
    217.81/300.67 = 144.23/x
  3. Step 3: Cross multiply
    217.81x = 300.67 × 144.23
  4. Step 4: Simplify right side
    217.81x = 43,366.48
  5. Step 5: Solve for x
    x = 43,366.48/217.81
  6. Step 6: Final answer
    x = 199.10

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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.