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Finding the Fourth Proportional to 272.13, 375.43 and 206.73

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Solution

The fourth proportional to 272.13, 375.43 and 206.73 is: 285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.13 : 375.43 = 206.73 : x
  2. Step 2: Convert to fraction form
    272.13/375.43 = 206.73/x
  3. Step 3: Cross multiply
    272.13x = 375.43 × 206.73
  4. Step 4: Simplify right side
    272.13x = 77,612.64
  5. Step 5: Solve for x
    x = 77,612.64/272.13
  6. Step 6: Final answer
    x = 285.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.