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Finding the Fourth Proportional to 249.92, 345.09 and 219.18

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Solution

The fourth proportional to 249.92, 345.09 and 219.18 is: 302.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.92 : 345.09 = 219.18 : x
  2. Step 2: Convert to fraction form
    249.92/345.09 = 219.18/x
  3. Step 3: Cross multiply
    249.92x = 345.09 × 219.18
  4. Step 4: Simplify right side
    249.92x = 75,636.83
  5. Step 5: Solve for x
    x = 75,636.83/249.92
  6. Step 6: Final answer
    x = 302.64

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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.