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Finding the Fourth Proportional to 272.08, 375.96 and 206.47

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Solution

The fourth proportional to 272.08, 375.96 and 206.47 is: 285.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.08 : 375.96 = 206.47 : x
  2. Step 2: Convert to fraction form
    272.08/375.96 = 206.47/x
  3. Step 3: Cross multiply
    272.08x = 375.96 × 206.47
  4. Step 4: Simplify right side
    272.08x = 77,625.71
  5. Step 5: Solve for x
    x = 77,625.71/272.08
  6. Step 6: Final answer
    x = 285.30

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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.