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Finding the Fourth Proportional to 207.85, 311.23 and 134.61

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Solution

The fourth proportional to 207.85, 311.23 and 134.61 is: 201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.85 : 311.23 = 134.61 : x
  2. Step 2: Convert to fraction form
    207.85/311.23 = 134.61/x
  3. Step 3: Cross multiply
    207.85x = 311.23 × 134.61
  4. Step 4: Simplify right side
    207.85x = 41,894.33
  5. Step 5: Solve for x
    x = 41,894.33/207.85
  6. Step 6: Final answer
    x = 201.56

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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.