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Finding the Fourth Proportional to 165.75, 249.09 and 163.02

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Solution

The fourth proportional to 165.75, 249.09 and 163.02 is: 244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.75 : 249.09 = 163.02 : x
  2. Step 2: Convert to fraction form
    165.75/249.09 = 163.02/x
  3. Step 3: Cross multiply
    165.75x = 249.09 × 163.02
  4. Step 4: Simplify right side
    165.75x = 40,606.65
  5. Step 5: Solve for x
    x = 40,606.65/165.75
  6. Step 6: Final answer
    x = 244.99

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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.