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Finding the Fourth Proportional to 249.46, 344.04 and 216.66

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Solution

The fourth proportional to 249.46, 344.04 and 216.66 is: 298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.46 : 344.04 = 216.66 : x
  2. Step 2: Convert to fraction form
    249.46/344.04 = 216.66/x
  3. Step 3: Cross multiply
    249.46x = 344.04 × 216.66
  4. Step 4: Simplify right side
    249.46x = 74,539.71
  5. Step 5: Solve for x
    x = 74,539.71/249.46
  6. Step 6: Final answer
    x = 298.80

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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.