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Finding the Fourth Proportional to 249.54, 344.16 and 214.90

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Solution

The fourth proportional to 249.54, 344.16 and 214.90 is: 296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.54 : 344.16 = 214.90 : x
  2. Step 2: Convert to fraction form
    249.54/344.16 = 214.90/x
  3. Step 3: Cross multiply
    249.54x = 344.16 × 214.90
  4. Step 4: Simplify right side
    249.54x = 73,959.98
  5. Step 5: Solve for x
    x = 73,959.98/249.54
  6. Step 6: Final answer
    x = 296.39

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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.