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Finding the Fourth Proportional to 207.92, 311.70 and 110.37

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Solution

The fourth proportional to 207.92, 311.70 and 110.37 is: 165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.92 : 311.70 = 110.37 : x
  2. Step 2: Convert to fraction form
    207.92/311.70 = 110.37/x
  3. Step 3: Cross multiply
    207.92x = 311.70 × 110.37
  4. Step 4: Simplify right side
    207.92x = 34,402.16
  5. Step 5: Solve for x
    x = 34,402.16/207.92
  6. Step 6: Final answer
    x = 165.46

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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.