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Finding the Fourth Proportional to 249.15, 343.84 and 149.57

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Solution

The fourth proportional to 249.15, 343.84 and 149.57 is: 206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.15 : 343.84 = 149.57 : x
  2. Step 2: Convert to fraction form
    249.15/343.84 = 149.57/x
  3. Step 3: Cross multiply
    249.15x = 343.84 × 149.57
  4. Step 4: Simplify right side
    249.15x = 51,428.15
  5. Step 5: Solve for x
    x = 51,428.15/249.15
  6. Step 6: Final answer
    x = 206.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.