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Finding the Fourth Proportional to 249.05, 342.54 and 199.82

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Solution

The fourth proportional to 249.05, 342.54 and 199.82 is: 274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.05 : 342.54 = 199.82 : x
  2. Step 2: Convert to fraction form
    249.05/342.54 = 199.82/x
  3. Step 3: Cross multiply
    249.05x = 342.54 × 199.82
  4. Step 4: Simplify right side
    249.05x = 68,444.63
  5. Step 5: Solve for x
    x = 68,444.63/249.05
  6. Step 6: Final answer
    x = 274.83

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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.