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Finding the Fourth Proportional to 251.96, 378.44 and 194.45

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Solution

The fourth proportional to 251.96, 378.44 and 194.45 is: 292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.96 : 378.44 = 194.45 : x
  2. Step 2: Convert to fraction form
    251.96/378.44 = 194.45/x
  3. Step 3: Cross multiply
    251.96x = 378.44 × 194.45
  4. Step 4: Simplify right side
    251.96x = 73,586.69
  5. Step 5: Solve for x
    x = 73,586.69/251.96
  6. Step 6: Final answer
    x = 292.06

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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.