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Finding the Fourth Proportional to 249.31, 343.77 and 214.30

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Solution

The fourth proportional to 249.31, 343.77 and 214.30 is: 295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.31 : 343.77 = 214.30 : x
  2. Step 2: Convert to fraction form
    249.31/343.77 = 214.30/x
  3. Step 3: Cross multiply
    249.31x = 343.77 × 214.30
  4. Step 4: Simplify right side
    249.31x = 73,669.91
  5. Step 5: Solve for x
    x = 73,669.91/249.31
  6. Step 6: Final answer
    x = 295.50

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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.