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Finding the Fourth Proportional to 193.36, 266.45 and 164.20

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Solution

The fourth proportional to 193.36, 266.45 and 164.20 is: 226.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.36 : 266.45 = 164.20 : x
  2. Step 2: Convert to fraction form
    193.36/266.45 = 164.20/x
  3. Step 3: Cross multiply
    193.36x = 266.45 × 164.20
  4. Step 4: Simplify right side
    193.36x = 43,751.09
  5. Step 5: Solve for x
    x = 43,751.09/193.36
  6. Step 6: Final answer
    x = 226.27

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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.