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Finding the Fourth Proportional to 193.77, 267.13 and 164.15

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Solution

The fourth proportional to 193.77, 267.13 and 164.15 is: 226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.77 : 267.13 = 164.15 : x
  2. Step 2: Convert to fraction form
    193.77/267.13 = 164.15/x
  3. Step 3: Cross multiply
    193.77x = 267.13 × 164.15
  4. Step 4: Simplify right side
    193.77x = 43,847.64
  5. Step 5: Solve for x
    x = 43,847.64/193.77
  6. Step 6: Final answer
    x = 226.29

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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.