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Finding the Fourth Proportional to 375.57, 518.27 and 218.16

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Solution

The fourth proportional to 375.57, 518.27 and 218.16 is: 301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.57 : 518.27 = 218.16 : x
  2. Step 2: Convert to fraction form
    375.57/518.27 = 218.16/x
  3. Step 3: Cross multiply
    375.57x = 518.27 × 218.16
  4. Step 4: Simplify right side
    375.57x = 113,064.69
  5. Step 5: Solve for x
    x = 113,064.69/375.57
  6. Step 6: Final answer
    x = 301.05

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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.