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Finding the Fourth Proportional to 192.93, 266.13 and 119.20

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Solution

The fourth proportional to 192.93, 266.13 and 119.20 is: 164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.93 : 266.13 = 119.20 : x
  2. Step 2: Convert to fraction form
    192.93/266.13 = 119.20/x
  3. Step 3: Cross multiply
    192.93x = 266.13 × 119.20
  4. Step 4: Simplify right side
    192.93x = 31,722.03
  5. Step 5: Solve for x
    x = 31,722.03/192.93
  6. Step 6: Final answer
    x = 164.42

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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.