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Finding the Fourth Proportional to 194.49, 267.93 and 161.15

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Solution

The fourth proportional to 194.49, 267.93 and 161.15 is: 221.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.49 : 267.93 = 161.15 : x
  2. Step 2: Convert to fraction form
    194.49/267.93 = 161.15/x
  3. Step 3: Cross multiply
    194.49x = 267.93 × 161.15
  4. Step 4: Simplify right side
    194.49x = 43,175.58
  5. Step 5: Solve for x
    x = 43,175.58/194.49
  6. Step 6: Final answer
    x = 221.99

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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.