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Finding the Fourth Proportional to 217.45, 300.21 and 143.98

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Solution

The fourth proportional to 217.45, 300.21 and 143.98 is: 198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.45 : 300.21 = 143.98 : x
  2. Step 2: Convert to fraction form
    217.45/300.21 = 143.98/x
  3. Step 3: Cross multiply
    217.45x = 300.21 × 143.98
  4. Step 4: Simplify right side
    217.45x = 43,224.24
  5. Step 5: Solve for x
    x = 43,224.24/217.45
  6. Step 6: Final answer
    x = 198.78

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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.