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Finding the Fourth Proportional to 192.21, 287.86 and 110.81

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Solution

The fourth proportional to 192.21, 287.86 and 110.81 is: 165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.21 : 287.86 = 110.81 : x
  2. Step 2: Convert to fraction form
    192.21/287.86 = 110.81/x
  3. Step 3: Cross multiply
    192.21x = 287.86 × 110.81
  4. Step 4: Simplify right side
    192.21x = 31,897.92
  5. Step 5: Solve for x
    x = 31,897.92/192.21
  6. Step 6: Final answer
    x = 165.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.