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Finding the Fourth Proportional to 207.99, 311.85 and 139.55

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Solution

The fourth proportional to 207.99, 311.85 and 139.55 is: 209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.99 : 311.85 = 139.55 : x
  2. Step 2: Convert to fraction form
    207.99/311.85 = 139.55/x
  3. Step 3: Cross multiply
    207.99x = 311.85 × 139.55
  4. Step 4: Simplify right side
    207.99x = 43,517.11
  5. Step 5: Solve for x
    x = 43,517.11/207.99
  6. Step 6: Final answer
    x = 209.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.