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Finding the Fourth Proportional to 272.82, 376.42 and 199.18

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Solution

The fourth proportional to 272.82, 376.42 and 199.18 is: 274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.82 : 376.42 = 199.18 : x
  2. Step 2: Convert to fraction form
    272.82/376.42 = 199.18/x
  3. Step 3: Cross multiply
    272.82x = 376.42 × 199.18
  4. Step 4: Simplify right side
    272.82x = 74,972.46
  5. Step 5: Solve for x
    x = 74,972.46/272.82
  6. Step 6: Final answer
    x = 274.81

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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.