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Finding the Fourth Proportional to 249.62, 374.09 and 105.17

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Solution

The fourth proportional to 249.62, 374.09 and 105.17 is: 157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.62 : 374.09 = 105.17 : x
  2. Step 2: Convert to fraction form
    249.62/374.09 = 105.17/x
  3. Step 3: Cross multiply
    249.62x = 374.09 × 105.17
  4. Step 4: Simplify right side
    249.62x = 39,340.65
  5. Step 5: Solve for x
    x = 39,340.65/249.62
  6. Step 6: Final answer
    x = 157.61

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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.