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Finding the Fourth Proportional to 251.88, 378 and 107.64

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Solution

The fourth proportional to 251.88, 378 and 107.64 is: 161.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.88 : 378 = 107.64 : x
  2. Step 2: Convert to fraction form
    251.88/378 = 107.64/x
  3. Step 3: Cross multiply
    251.88x = 378 × 107.64
  4. Step 4: Simplify right side
    251.88x = 40,687.92
  5. Step 5: Solve for x
    x = 40,687.92/251.88
  6. Step 6: Final answer
    x = 161.54

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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.