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Finding the Fourth Proportional to 249.23, 344.00 and 224.62

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Solution

The fourth proportional to 249.23, 344.00 and 224.62 is: 310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.23 : 344.00 = 224.62 : x
  2. Step 2: Convert to fraction form
    249.23/344.00 = 224.62/x
  3. Step 3: Cross multiply
    249.23x = 344.00 × 224.62
  4. Step 4: Simplify right side
    249.23x = 77,269.65
  5. Step 5: Solve for x
    x = 77,269.65/249.23
  6. Step 6: Final answer
    x = 310.04

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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.