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Finding the Fourth Proportional to 208.06, 311.92 and 139.38

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Solution

The fourth proportional to 208.06, 311.92 and 139.38 is: 208.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.06 : 311.92 = 139.38 : x
  2. Step 2: Convert to fraction form
    208.06/311.92 = 139.38/x
  3. Step 3: Cross multiply
    208.06x = 311.92 × 139.38
  4. Step 4: Simplify right side
    208.06x = 43,473.50
  5. Step 5: Solve for x
    x = 43,473.50/208.06
  6. Step 6: Final answer
    x = 208.94

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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.