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Finding the Fourth Proportional to 272.86, 376.36 and 194.16

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Solution

The fourth proportional to 272.86, 376.36 and 194.16 is: 267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.86 : 376.36 = 194.16 : x
  2. Step 2: Convert to fraction form
    272.86/376.36 = 194.16/x
  3. Step 3: Cross multiply
    272.86x = 376.36 × 194.16
  4. Step 4: Simplify right side
    272.86x = 73,074.06
  5. Step 5: Solve for x
    x = 73,074.06/272.86
  6. Step 6: Final answer
    x = 267.81

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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.