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Finding the Fourth Proportional to 192.68, 289.84 and 165.96

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Solution

The fourth proportional to 192.68, 289.84 and 165.96 is: 249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.68 : 289.84 = 165.96 : x
  2. Step 2: Convert to fraction form
    192.68/289.84 = 165.96/x
  3. Step 3: Cross multiply
    192.68x = 289.84 × 165.96
  4. Step 4: Simplify right side
    192.68x = 48,101.85
  5. Step 5: Solve for x
    x = 48,101.85/192.68
  6. Step 6: Final answer
    x = 249.65

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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.