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Finding the Fourth Proportional to 192.82, 266.06 and 119.12

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Solution

The fourth proportional to 192.82, 266.06 and 119.12 is: 164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.82 : 266.06 = 119.12 : x
  2. Step 2: Convert to fraction form
    192.82/266.06 = 119.12/x
  3. Step 3: Cross multiply
    192.82x = 266.06 × 119.12
  4. Step 4: Simplify right side
    192.82x = 31,693.07
  5. Step 5: Solve for x
    x = 31,693.07/192.82
  6. Step 6: Final answer
    x = 164.37

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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.