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Finding the Fourth Proportional to 208.03, 311.73 and 121.39

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Solution

The fourth proportional to 208.03, 311.73 and 121.39 is: 181.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.03 : 311.73 = 121.39 : x
  2. Step 2: Convert to fraction form
    208.03/311.73 = 121.39/x
  3. Step 3: Cross multiply
    208.03x = 311.73 × 121.39
  4. Step 4: Simplify right side
    208.03x = 37,840.90
  5. Step 5: Solve for x
    x = 37,840.90/208.03
  6. Step 6: Final answer
    x = 181.90

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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.