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Finding the Fourth Proportional to 181.37, 270.09 and 169.69

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Solution

The fourth proportional to 181.37, 270.09 and 169.69 is: 252.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.37 : 270.09 = 169.69 : x
  2. Step 2: Convert to fraction form
    181.37/270.09 = 169.69/x
  3. Step 3: Cross multiply
    181.37x = 270.09 × 169.69
  4. Step 4: Simplify right side
    181.37x = 45,830.22
  5. Step 5: Solve for x
    x = 45,830.22/181.37
  6. Step 6: Final answer
    x = 252.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.