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Finding the Fourth Proportional to 193.67, 267.21 and 169.06

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Solution

The fourth proportional to 193.67, 267.21 and 169.06 is: 233.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.67 : 267.21 = 169.06 : x
  2. Step 2: Convert to fraction form
    193.67/267.21 = 169.06/x
  3. Step 3: Cross multiply
    193.67x = 267.21 × 169.06
  4. Step 4: Simplify right side
    193.67x = 45,174.52
  5. Step 5: Solve for x
    x = 45,174.52/193.67
  6. Step 6: Final answer
    x = 233.26

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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.