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Finding the Fourth Proportional to 325.96, 488.22 and 181.42

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Solution

The fourth proportional to 325.96, 488.22 and 181.42 is: 271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.96 : 488.22 = 181.42 : x
  2. Step 2: Convert to fraction form
    325.96/488.22 = 181.42/x
  3. Step 3: Cross multiply
    325.96x = 488.22 × 181.42
  4. Step 4: Simplify right side
    325.96x = 88,572.87
  5. Step 5: Solve for x
    x = 88,572.87/325.96
  6. Step 6: Final answer
    x = 271.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.