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Finding the Fourth Proportional to 208.13, 311.39 and 139.33

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Solution

The fourth proportional to 208.13, 311.39 and 139.33 is: 208.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.13 : 311.39 = 139.33 : x
  2. Step 2: Convert to fraction form
    208.13/311.39 = 139.33/x
  3. Step 3: Cross multiply
    208.13x = 311.39 × 139.33
  4. Step 4: Simplify right side
    208.13x = 43,384.49
  5. Step 5: Solve for x
    x = 43,384.49/208.13
  6. Step 6: Final answer
    x = 208.45

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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.