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Finding the Fourth Proportional to 249.92, 342.80 and 245.20

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Solution

The fourth proportional to 249.92, 342.80 and 245.20 is: 336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.92 : 342.80 = 245.20 : x
  2. Step 2: Convert to fraction form
    249.92/342.80 = 245.20/x
  3. Step 3: Cross multiply
    249.92x = 342.80 × 245.20
  4. Step 4: Simplify right side
    249.92x = 84,054.56
  5. Step 5: Solve for x
    x = 84,054.56/249.92
  6. Step 6: Final answer
    x = 336.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.