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Finding the Fourth Proportional to 181.44, 273.78 and 173.95

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Solution

The fourth proportional to 181.44, 273.78 and 173.95 is: 262.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.44 : 273.78 = 173.95 : x
  2. Step 2: Convert to fraction form
    181.44/273.78 = 173.95/x
  3. Step 3: Cross multiply
    181.44x = 273.78 × 173.95
  4. Step 4: Simplify right side
    181.44x = 47,623.35
  5. Step 5: Solve for x
    x = 47,623.35/181.44
  6. Step 6: Final answer
    x = 262.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.