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Finding the Fourth Proportional to 272.60, 376.26 and 194.84

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Solution

The fourth proportional to 272.60, 376.26 and 194.84 is: 268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.60 : 376.26 = 194.84 : x
  2. Step 2: Convert to fraction form
    272.60/376.26 = 194.84/x
  3. Step 3: Cross multiply
    272.60x = 376.26 × 194.84
  4. Step 4: Simplify right side
    272.60x = 73,310.50
  5. Step 5: Solve for x
    x = 73,310.50/272.60
  6. Step 6: Final answer
    x = 268.93

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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.