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Finding the Fourth Proportional to 193.89, 267.60 and 182.18

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Solution

The fourth proportional to 193.89, 267.60 and 182.18 is: 251.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.89 : 267.60 = 182.18 : x
  2. Step 2: Convert to fraction form
    193.89/267.60 = 182.18/x
  3. Step 3: Cross multiply
    193.89x = 267.60 × 182.18
  4. Step 4: Simplify right side
    193.89x = 48,750.03
  5. Step 5: Solve for x
    x = 48,750.03/193.89
  6. Step 6: Final answer
    x = 251.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.