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Finding the Fourth Proportional to 251.26, 376.92 and 106.94

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Solution

The fourth proportional to 251.26, 376.92 and 106.94 is: 160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.26 : 376.92 = 106.94 : x
  2. Step 2: Convert to fraction form
    251.26/376.92 = 106.94/x
  3. Step 3: Cross multiply
    251.26x = 376.92 × 106.94
  4. Step 4: Simplify right side
    251.26x = 40,307.82
  5. Step 5: Solve for x
    x = 40,307.82/251.26
  6. Step 6: Final answer
    x = 160.42

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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.