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Finding the Fourth Proportional to 181.62, 270.72 and 162

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Solution

The fourth proportional to 181.62, 270.72 and 162 is: 241.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.62 : 270.72 = 162 : x
  2. Step 2: Convert to fraction form
    181.62/270.72 = 162/x
  3. Step 3: Cross multiply
    181.62x = 270.72 × 162
  4. Step 4: Simplify right side
    181.62x = 43,856.64
  5. Step 5: Solve for x
    x = 43,856.64/181.62
  6. Step 6: Final answer
    x = 241.47

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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.