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Finding the Fourth Proportional to 207.94, 311.12 and 182.08

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Solution

The fourth proportional to 207.94, 311.12 and 182.08 is: 272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.94 : 311.12 = 182.08 : x
  2. Step 2: Convert to fraction form
    207.94/311.12 = 182.08/x
  3. Step 3: Cross multiply
    207.94x = 311.12 × 182.08
  4. Step 4: Simplify right side
    207.94x = 56,648.73
  5. Step 5: Solve for x
    x = 56,648.73/207.94
  6. Step 6: Final answer
    x = 272.43

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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.