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Finding the Fourth Proportional to 207.69, 311.76 and 110.31

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Solution

The fourth proportional to 207.69, 311.76 and 110.31 is: 165.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.69 : 311.76 = 110.31 : x
  2. Step 2: Convert to fraction form
    207.69/311.76 = 110.31/x
  3. Step 3: Cross multiply
    207.69x = 311.76 × 110.31
  4. Step 4: Simplify right side
    207.69x = 34,390.25
  5. Step 5: Solve for x
    x = 34,390.25/207.69
  6. Step 6: Final answer
    x = 165.58

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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.