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Finding the Fourth Proportional to 375.87, 518.62 and 218.46

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Solution

The fourth proportional to 375.87, 518.62 and 218.46 is: 301.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.87 : 518.62 = 218.46 : x
  2. Step 2: Convert to fraction form
    375.87/518.62 = 218.46/x
  3. Step 3: Cross multiply
    375.87x = 518.62 × 218.46
  4. Step 4: Simplify right side
    375.87x = 113,297.73
  5. Step 5: Solve for x
    x = 113,297.73/375.87
  6. Step 6: Final answer
    x = 301.43

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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.