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Finding the Fourth Proportional to 181.82, 270.87 and 173.12

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Solution

The fourth proportional to 181.82, 270.87 and 173.12 is: 257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.82 : 270.87 = 173.12 : x
  2. Step 2: Convert to fraction form
    181.82/270.87 = 173.12/x
  3. Step 3: Cross multiply
    181.82x = 270.87 × 173.12
  4. Step 4: Simplify right side
    181.82x = 46,892.31
  5. Step 5: Solve for x
    x = 46,892.31/181.82
  6. Step 6: Final answer
    x = 257.90

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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.