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Finding the Fourth Proportional to 334.44, 461.54 and 194.60

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Solution

The fourth proportional to 334.44, 461.54 and 194.60 is: 268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.44 : 461.54 = 194.60 : x
  2. Step 2: Convert to fraction form
    334.44/461.54 = 194.60/x
  3. Step 3: Cross multiply
    334.44x = 461.54 × 194.60
  4. Step 4: Simplify right side
    334.44x = 89,815.68
  5. Step 5: Solve for x
    x = 89,815.68/334.44
  6. Step 6: Final answer
    x = 268.56

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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.