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Finding the Fourth Proportional to 207.82, 311.74 and 86.06

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Solution

The fourth proportional to 207.82, 311.74 and 86.06 is: 129.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.82 : 311.74 = 86.06 : x
  2. Step 2: Convert to fraction form
    207.82/311.74 = 86.06/x
  3. Step 3: Cross multiply
    207.82x = 311.74 × 86.06
  4. Step 4: Simplify right side
    207.82x = 26,828.34
  5. Step 5: Solve for x
    x = 26,828.34/207.82
  6. Step 6: Final answer
    x = 129.09

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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.