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Finding the Fourth Proportional to 249.45, 374.17 and 105.06

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Solution

The fourth proportional to 249.45, 374.17 and 105.06 is: 157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.45 : 374.17 = 105.06 : x
  2. Step 2: Convert to fraction form
    249.45/374.17 = 105.06/x
  3. Step 3: Cross multiply
    249.45x = 374.17 × 105.06
  4. Step 4: Simplify right side
    249.45x = 39,310.30
  5. Step 5: Solve for x
    x = 39,310.30/249.45
  6. Step 6: Final answer
    x = 157.59

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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.