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Finding the Fourth Proportional to 192.66, 265.97 and 151.11

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Solution

The fourth proportional to 192.66, 265.97 and 151.11 is: 208.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.66 : 265.97 = 151.11 : x
  2. Step 2: Convert to fraction form
    192.66/265.97 = 151.11/x
  3. Step 3: Cross multiply
    192.66x = 265.97 × 151.11
  4. Step 4: Simplify right side
    192.66x = 40,190.73
  5. Step 5: Solve for x
    x = 40,190.73/192.66
  6. Step 6: Final answer
    x = 208.61

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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.