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Finding the Fourth Proportional to 272.37, 376.08 and 194.61

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Solution

The fourth proportional to 272.37, 376.08 and 194.61 is: 268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.37 : 376.08 = 194.61 : x
  2. Step 2: Convert to fraction form
    272.37/376.08 = 194.61/x
  3. Step 3: Cross multiply
    272.37x = 376.08 × 194.61
  4. Step 4: Simplify right side
    272.37x = 73,188.93
  5. Step 5: Solve for x
    x = 73,188.93/272.37
  6. Step 6: Final answer
    x = 268.71

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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.