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Finding the Fourth Proportional to 272.44, 376.16 and 229.08

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Solution

The fourth proportional to 272.44, 376.16 and 229.08 is: 316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.44 : 376.16 = 229.08 : x
  2. Step 2: Convert to fraction form
    272.44/376.16 = 229.08/x
  3. Step 3: Cross multiply
    272.44x = 376.16 × 229.08
  4. Step 4: Simplify right side
    272.44x = 86,170.73
  5. Step 5: Solve for x
    x = 86,170.73/272.44
  6. Step 6: Final answer
    x = 316.29

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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.