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Finding the Fourth Proportional to 192.92, 264.89 and 164.96

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Solution

The fourth proportional to 192.92, 264.89 and 164.96 is: 226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.92 : 264.89 = 164.96 : x
  2. Step 2: Convert to fraction form
    192.92/264.89 = 164.96/x
  3. Step 3: Cross multiply
    192.92x = 264.89 × 164.96
  4. Step 4: Simplify right side
    192.92x = 43,696.25
  5. Step 5: Solve for x
    x = 43,696.25/192.92
  6. Step 6: Final answer
    x = 226.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.