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Finding the Fourth Proportional to 194.76, 267.59 and 163.42

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Solution

The fourth proportional to 194.76, 267.59 and 163.42 is: 224.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.76 : 267.59 = 163.42 : x
  2. Step 2: Convert to fraction form
    194.76/267.59 = 163.42/x
  3. Step 3: Cross multiply
    194.76x = 267.59 × 163.42
  4. Step 4: Simplify right side
    194.76x = 43,729.30
  5. Step 5: Solve for x
    x = 43,729.30/194.76
  6. Step 6: Final answer
    x = 224.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.