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Finding the Fourth Proportional to 181.62, 249.93 and 167.22

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Solution

The fourth proportional to 181.62, 249.93 and 167.22 is: 230.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.62 : 249.93 = 167.22 : x
  2. Step 2: Convert to fraction form
    181.62/249.93 = 167.22/x
  3. Step 3: Cross multiply
    181.62x = 249.93 × 167.22
  4. Step 4: Simplify right side
    181.62x = 41,793.29
  5. Step 5: Solve for x
    x = 41,793.29/181.62
  6. Step 6: Final answer
    x = 230.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.