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Finding the Fourth Proportional to 207.83, 311.84 and 86.12

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Solution

The fourth proportional to 207.83, 311.84 and 86.12 is: 129.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.83 : 311.84 = 86.12 : x
  2. Step 2: Convert to fraction form
    207.83/311.84 = 86.12/x
  3. Step 3: Cross multiply
    207.83x = 311.84 × 86.12
  4. Step 4: Simplify right side
    207.83x = 26,855.66
  5. Step 5: Solve for x
    x = 26,855.66/207.83
  6. Step 6: Final answer
    x = 129.22

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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.