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Finding the Fourth Proportional to 192.29, 265.46 and 122.45

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Solution

The fourth proportional to 192.29, 265.46 and 122.45 is: 169.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.29 : 265.46 = 122.45 : x
  2. Step 2: Convert to fraction form
    192.29/265.46 = 122.45/x
  3. Step 3: Cross multiply
    192.29x = 265.46 × 122.45
  4. Step 4: Simplify right side
    192.29x = 32,503.64
  5. Step 5: Solve for x
    x = 32,503.64/192.29
  6. Step 6: Final answer
    x = 169.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.