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Finding the Fourth Proportional to 272.91, 376.47 and 194.34

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Solution

The fourth proportional to 272.91, 376.47 and 194.34 is: 268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.91 : 376.47 = 194.34 : x
  2. Step 2: Convert to fraction form
    272.91/376.47 = 194.34/x
  3. Step 3: Cross multiply
    272.91x = 376.47 × 194.34
  4. Step 4: Simplify right side
    272.91x = 73,163.18
  5. Step 5: Solve for x
    x = 73,163.18/272.91
  6. Step 6: Final answer
    x = 268.09

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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.