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Finding the Fourth Proportional to 334.60, 461.80 and 194.80

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Solution

The fourth proportional to 334.60, 461.80 and 194.80 is: 268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.60 : 461.80 = 194.80 : x
  2. Step 2: Convert to fraction form
    334.60/461.80 = 194.80/x
  3. Step 3: Cross multiply
    334.60x = 461.80 × 194.80
  4. Step 4: Simplify right side
    334.60x = 89,958.64
  5. Step 5: Solve for x
    x = 89,958.64/334.60
  6. Step 6: Final answer
    x = 268.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.