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Finding the Fourth Proportional to 192.23, 265.07 and 136.27

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Solution

The fourth proportional to 192.23, 265.07 and 136.27 is: 187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.23 : 265.07 = 136.27 : x
  2. Step 2: Convert to fraction form
    192.23/265.07 = 136.27/x
  3. Step 3: Cross multiply
    192.23x = 265.07 × 136.27
  4. Step 4: Simplify right side
    192.23x = 36,121.09
  5. Step 5: Solve for x
    x = 36,121.09/192.23
  6. Step 6: Final answer
    x = 187.91

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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.