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Finding the Fourth Proportional to 272.56, 375.42 and 206.96

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Solution

The fourth proportional to 272.56, 375.42 and 206.96 is: 285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.56 : 375.42 = 206.96 : x
  2. Step 2: Convert to fraction form
    272.56/375.42 = 206.96/x
  3. Step 3: Cross multiply
    272.56x = 375.42 × 206.96
  4. Step 4: Simplify right side
    272.56x = 77,696.92
  5. Step 5: Solve for x
    x = 77,696.92/272.56
  6. Step 6: Final answer
    x = 285.06

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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.