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Finding the Fourth Proportional to 192.90, 266.17 and 119.22

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Solution

The fourth proportional to 192.90, 266.17 and 119.22 is: 164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.90 : 266.17 = 119.22 : x
  2. Step 2: Convert to fraction form
    192.90/266.17 = 119.22/x
  3. Step 3: Cross multiply
    192.90x = 266.17 × 119.22
  4. Step 4: Simplify right side
    192.90x = 31,732.79
  5. Step 5: Solve for x
    x = 31,732.79/192.90
  6. Step 6: Final answer
    x = 164.50

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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.