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Finding the Fourth Proportional to 192.79, 266.07 and 119.13

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Solution

The fourth proportional to 192.79, 266.07 and 119.13 is: 164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.79 : 266.07 = 119.13 : x
  2. Step 2: Convert to fraction form
    192.79/266.07 = 119.13/x
  3. Step 3: Cross multiply
    192.79x = 266.07 × 119.13
  4. Step 4: Simplify right side
    192.79x = 31,696.92
  5. Step 5: Solve for x
    x = 31,696.92/192.79
  6. Step 6: Final answer
    x = 164.41

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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.