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Finding the Fourth Proportional to 249.80, 374.37 and 119.58

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Solution

The fourth proportional to 249.80, 374.37 and 119.58 is: 179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.80 : 374.37 = 119.58 : x
  2. Step 2: Convert to fraction form
    249.80/374.37 = 119.58/x
  3. Step 3: Cross multiply
    249.80x = 374.37 × 119.58
  4. Step 4: Simplify right side
    249.80x = 44,767.16
  5. Step 5: Solve for x
    x = 44,767.16/249.80
  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.