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Finding the Fourth Proportional to 217.01, 299.52 and 143.43

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Solution

The fourth proportional to 217.01, 299.52 and 143.43 is: 197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.01 : 299.52 = 143.43 : x
  2. Step 2: Convert to fraction form
    217.01/299.52 = 143.43/x
  3. Step 3: Cross multiply
    217.01x = 299.52 × 143.43
  4. Step 4: Simplify right side
    217.01x = 42,960.15
  5. Step 5: Solve for x
    x = 42,960.15/217.01
  6. Step 6: Final answer
    x = 197.96

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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.