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Finding the Fourth Proportional to 192.71, 265.92 and 109.81

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Solution

The fourth proportional to 192.71, 265.92 and 109.81 is: 151.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.71 : 265.92 = 109.81 : x
  2. Step 2: Convert to fraction form
    192.71/265.92 = 109.81/x
  3. Step 3: Cross multiply
    192.71x = 265.92 × 109.81
  4. Step 4: Simplify right side
    192.71x = 29,200.01
  5. Step 5: Solve for x
    x = 29,200.01/192.71
  6. Step 6: Final answer
    x = 151.53

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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.