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Finding the Fourth Proportional to 251.22, 376.86 and 106.92

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Solution

The fourth proportional to 251.22, 376.86 and 106.92 is: 160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.22 : 376.86 = 106.92 : x
  2. Step 2: Convert to fraction form
    251.22/376.86 = 106.92/x
  3. Step 3: Cross multiply
    251.22x = 376.86 × 106.92
  4. Step 4: Simplify right side
    251.22x = 40,293.87
  5. Step 5: Solve for x
    x = 40,293.87/251.22
  6. Step 6: Final answer
    x = 160.39

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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.