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Finding the Fourth Proportional to 334.27, 461.32 and 194.44

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Solution

The fourth proportional to 334.27, 461.32 and 194.44 is: 268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.27 : 461.32 = 194.44 : x
  2. Step 2: Convert to fraction form
    334.27/461.32 = 194.44/x
  3. Step 3: Cross multiply
    334.27x = 461.32 × 194.44
  4. Step 4: Simplify right side
    334.27x = 89,699.06
  5. Step 5: Solve for x
    x = 89,699.06/334.27
  6. Step 6: Final answer
    x = 268.34

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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.