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Finding the Fourth Proportional to 334.35, 461.41 and 194.46

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Solution

The fourth proportional to 334.35, 461.41 and 194.46 is: 268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.35 : 461.41 = 194.46 : x
  2. Step 2: Convert to fraction form
    334.35/461.41 = 194.46/x
  3. Step 3: Cross multiply
    334.35x = 461.41 × 194.46
  4. Step 4: Simplify right side
    334.35x = 89,725.79
  5. Step 5: Solve for x
    x = 89,725.79/334.35
  6. Step 6: Final answer
    x = 268.36

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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.