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Finding the Fourth Proportional to 192.92, 266.33 and 134.78

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Solution

The fourth proportional to 192.92, 266.33 and 134.78 is: 186.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.92 : 266.33 = 134.78 : x
  2. Step 2: Convert to fraction form
    192.92/266.33 = 134.78/x
  3. Step 3: Cross multiply
    192.92x = 266.33 × 134.78
  4. Step 4: Simplify right side
    192.92x = 35,895.96
  5. Step 5: Solve for x
    x = 35,895.96/192.92
  6. Step 6: Final answer
    x = 186.07

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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.