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Finding the Fourth Proportional to 334.82, 461.83 and 218.38

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Solution

The fourth proportional to 334.82, 461.83 and 218.38 is: 301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.82 : 461.83 = 218.38 : x
  2. Step 2: Convert to fraction form
    334.82/461.83 = 218.38/x
  3. Step 3: Cross multiply
    334.82x = 461.83 × 218.38
  4. Step 4: Simplify right side
    334.82x = 100,854.44
  5. Step 5: Solve for x
    x = 100,854.44/334.82
  6. Step 6: Final answer
    x = 301.22

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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.