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Finding the Fourth Proportional to 208.47, 311.92 and 125.91

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Solution

The fourth proportional to 208.47, 311.92 and 125.91 is: 188.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.47 : 311.92 = 125.91 : x
  2. Step 2: Convert to fraction form
    208.47/311.92 = 125.91/x
  3. Step 3: Cross multiply
    208.47x = 311.92 × 125.91
  4. Step 4: Simplify right side
    208.47x = 39,273.85
  5. Step 5: Solve for x
    x = 39,273.85/208.47
  6. Step 6: Final answer
    x = 188.39

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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.