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Finding the Fourth Proportional to 192.34, 265.37 and 109.42

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Solution

The fourth proportional to 192.34, 265.37 and 109.42 is: 150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.34 : 265.37 = 109.42 : x
  2. Step 2: Convert to fraction form
    192.34/265.37 = 109.42/x
  3. Step 3: Cross multiply
    192.34x = 265.37 × 109.42
  4. Step 4: Simplify right side
    192.34x = 29,035.57
  5. Step 5: Solve for x
    x = 29,035.57/192.34
  6. Step 6: Final answer
    x = 150.96

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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.