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Finding the Fourth Proportional to 192.73, 289.06 and 116.16

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Solution

The fourth proportional to 192.73, 289.06 and 116.16 is: 174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.73 : 289.06 = 116.16 : x
  2. Step 2: Convert to fraction form
    192.73/289.06 = 116.16/x
  3. Step 3: Cross multiply
    192.73x = 289.06 × 116.16
  4. Step 4: Simplify right side
    192.73x = 33,576.92
  5. Step 5: Solve for x
    x = 33,576.92/192.73
  6. Step 6: Final answer
    x = 174.22

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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.