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Finding the Fourth Proportional to 249.50, 374.22 and 119.49

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Solution

The fourth proportional to 249.50, 374.22 and 119.49 is: 179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.50 : 374.22 = 119.49 : x
  2. Step 2: Convert to fraction form
    249.50/374.22 = 119.49/x
  3. Step 3: Cross multiply
    249.50x = 374.22 × 119.49
  4. Step 4: Simplify right side
    249.50x = 44,715.55
  5. Step 5: Solve for x
    x = 44,715.55/249.50
  6. Step 6: Final answer
    x = 179.22

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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.