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Finding the Fourth Proportional to 217.52, 300.06 and 143.82

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Solution

The fourth proportional to 217.52, 300.06 and 143.82 is: 198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.52 : 300.06 = 143.82 : x
  2. Step 2: Convert to fraction form
    217.52/300.06 = 143.82/x
  3. Step 3: Cross multiply
    217.52x = 300.06 × 143.82
  4. Step 4: Simplify right side
    217.52x = 43,154.63
  5. Step 5: Solve for x
    x = 43,154.63/217.52
  6. Step 6: Final answer
    x = 198.39

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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.