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Finding the Fourth Proportional to 251.27, 376.97 and 107

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Solution

The fourth proportional to 251.27, 376.97 and 107 is: 160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.27 : 376.97 = 107 : x
  2. Step 2: Convert to fraction form
    251.27/376.97 = 107/x
  3. Step 3: Cross multiply
    251.27x = 376.97 × 107
  4. Step 4: Simplify right side
    251.27x = 40,335.79
  5. Step 5: Solve for x
    x = 40,335.79/251.27
  6. Step 6: Final answer
    x = 160.53

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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.