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Finding the Fourth Proportional to 192.69, 289.22 and 141.44

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Solution

The fourth proportional to 192.69, 289.22 and 141.44 is: 212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.69 : 289.22 = 141.44 : x
  2. Step 2: Convert to fraction form
    192.69/289.22 = 141.44/x
  3. Step 3: Cross multiply
    192.69x = 289.22 × 141.44
  4. Step 4: Simplify right side
    192.69x = 40,905.12
  5. Step 5: Solve for x
    x = 40,905.12/192.69
  6. Step 6: Final answer
    x = 212.28

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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.