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Finding the Fourth Proportional to 249.17, 344.03 and 193.82

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Solution

The fourth proportional to 249.17, 344.03 and 193.82 is: 267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.17 : 344.03 = 193.82 : x
  2. Step 2: Convert to fraction form
    249.17/344.03 = 193.82/x
  3. Step 3: Cross multiply
    249.17x = 344.03 × 193.82
  4. Step 4: Simplify right side
    249.17x = 66,677.21
  5. Step 5: Solve for x
    x = 66,677.21/249.17
  6. Step 6: Final answer
    x = 267.60

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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.