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Finding the Fourth Proportional to 375.45, 518.15 and 218.12

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Solution

The fourth proportional to 375.45, 518.15 and 218.12 is: 301.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.45 : 518.15 = 218.12 : x
  2. Step 2: Convert to fraction form
    375.45/518.15 = 218.12/x
  3. Step 3: Cross multiply
    375.45x = 518.15 × 218.12
  4. Step 4: Simplify right side
    375.45x = 113,015.20
  5. Step 5: Solve for x
    x = 113,015.20/375.45
  6. Step 6: Final answer
    x = 301.01

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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.