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Finding the Fourth Proportional to 207.73, 311.00 and 120.80

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Solution

The fourth proportional to 207.73, 311.00 and 120.80 is: 180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.73 : 311.00 = 120.80 : x
  2. Step 2: Convert to fraction form
    207.73/311.00 = 120.80/x
  3. Step 3: Cross multiply
    207.73x = 311.00 × 120.80
  4. Step 4: Simplify right side
    207.73x = 37,569.31
  5. Step 5: Solve for x
    x = 37,569.31/207.73
  6. Step 6: Final answer
    x = 180.85

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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.