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Finding the Fourth Proportional to 272.82, 409.18 and 133.94

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Solution

The fourth proportional to 272.82, 409.18 and 133.94 is: 200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.82 : 409.18 = 133.94 : x
  2. Step 2: Convert to fraction form
    272.82/409.18 = 133.94/x
  3. Step 3: Cross multiply
    272.82x = 409.18 × 133.94
  4. Step 4: Simplify right side
    272.82x = 54,804.72
  5. Step 5: Solve for x
    x = 54,804.72/272.82
  6. Step 6: Final answer
    x = 200.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.