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Finding the Fourth Proportional to 249.83, 344.00 and 214.80

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Solution

The fourth proportional to 249.83, 344.00 and 214.80 is: 295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.83 : 344.00 = 214.80 : x
  2. Step 2: Convert to fraction form
    249.83/344.00 = 214.80/x
  3. Step 3: Cross multiply
    249.83x = 344.00 × 214.80
  4. Step 4: Simplify right side
    249.83x = 73,891.17
  5. Step 5: Solve for x
    x = 73,891.17/249.83
  6. Step 6: Final answer
    x = 295.76

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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.