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Finding the Fourth Proportional to 375.96, 518.84 and 218.60

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Solution

The fourth proportional to 375.96, 518.84 and 218.60 is: 301.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.96 : 518.84 = 218.60 : x
  2. Step 2: Convert to fraction form
    375.96/518.84 = 218.60/x
  3. Step 3: Cross multiply
    375.96x = 518.84 × 218.60
  4. Step 4: Simplify right side
    375.96x = 113,418.42
  5. Step 5: Solve for x
    x = 113,418.42/375.96
  6. Step 6: Final answer
    x = 301.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.