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Finding the Fourth Proportional to 249.17, 344.30 and 207.09

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Solution

The fourth proportional to 249.17, 344.30 and 207.09 is: 286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.17 : 344.30 = 207.09 : x
  2. Step 2: Convert to fraction form
    249.17/344.30 = 207.09/x
  3. Step 3: Cross multiply
    249.17x = 344.30 × 207.09
  4. Step 4: Simplify right side
    249.17x = 71,300.05
  5. Step 5: Solve for x
    x = 71,300.05/249.17
  6. Step 6: Final answer
    x = 286.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.