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Finding the Fourth Proportional to 251.14, 376.50 and 106.96

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Solution

The fourth proportional to 251.14, 376.50 and 106.96 is: 160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.14 : 376.50 = 106.96 : x
  2. Step 2: Convert to fraction form
    251.14/376.50 = 106.96/x
  3. Step 3: Cross multiply
    251.14x = 376.50 × 106.96
  4. Step 4: Simplify right side
    251.14x = 40,270.44
  5. Step 5: Solve for x
    x = 40,270.44/251.14
  6. Step 6: Final answer
    x = 160.35

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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.