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Finding the Fourth Proportional to 334.31, 461.36 and 194.44

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Solution

The fourth proportional to 334.31, 461.36 and 194.44 is: 268.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.31 : 461.36 = 194.44 : x
  2. Step 2: Convert to fraction form
    334.31/461.36 = 194.44/x
  3. Step 3: Cross multiply
    334.31x = 461.36 × 194.44
  4. Step 4: Simplify right side
    334.31x = 89,706.84
  5. Step 5: Solve for x
    x = 89,706.84/334.31
  6. Step 6: Final answer
    x = 268.33

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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.