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Finding the Fourth Proportional to 249.53, 374.09 and 141.21

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Solution

The fourth proportional to 249.53, 374.09 and 141.21 is: 211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.53 : 374.09 = 141.21 : x
  2. Step 2: Convert to fraction form
    249.53/374.09 = 141.21/x
  3. Step 3: Cross multiply
    249.53x = 374.09 × 141.21
  4. Step 4: Simplify right side
    249.53x = 52,824.54
  5. Step 5: Solve for x
    x = 52,824.54/249.53
  6. Step 6: Final answer
    x = 211.70

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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.