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Finding the Fourth Proportional to 215.82, 323.28 and 142.47

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Solution

The fourth proportional to 215.82, 323.28 and 142.47 is: 213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.82 : 323.28 = 142.47 : x
  2. Step 2: Convert to fraction form
    215.82/323.28 = 142.47/x
  3. Step 3: Cross multiply
    215.82x = 323.28 × 142.47
  4. Step 4: Simplify right side
    215.82x = 46,057.70
  5. Step 5: Solve for x
    x = 46,057.70/215.82
  6. Step 6: Final answer
    x = 213.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.