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Finding the Fourth Proportional to 207.82, 311.87 and 92.30

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Solution

The fourth proportional to 207.82, 311.87 and 92.30 is: 138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.82 : 311.87 = 92.30 : x
  2. Step 2: Convert to fraction form
    207.82/311.87 = 92.30/x
  3. Step 3: Cross multiply
    207.82x = 311.87 × 92.30
  4. Step 4: Simplify right side
    207.82x = 28,783.75
  5. Step 5: Solve for x
    x = 28,783.75/207.82
  6. Step 6: Final answer
    x = 138.50

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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.