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Finding the Fourth Proportional to 208.42, 311.86 and 126.20

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Solution

The fourth proportional to 208.42, 311.86 and 126.20 is: 188.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.42 : 311.86 = 126.20 : x
  2. Step 2: Convert to fraction form
    208.42/311.86 = 126.20/x
  3. Step 3: Cross multiply
    208.42x = 311.86 × 126.20
  4. Step 4: Simplify right side
    208.42x = 39,356.73
  5. Step 5: Solve for x
    x = 39,356.73/208.42
  6. Step 6: Final answer
    x = 188.83

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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.