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Finding the Fourth Proportional to 327.65, 491.81 and 181.38

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Solution

The fourth proportional to 327.65, 491.81 and 181.38 is: 272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.65 : 491.81 = 181.38 : x
  2. Step 2: Convert to fraction form
    327.65/491.81 = 181.38/x
  3. Step 3: Cross multiply
    327.65x = 491.81 × 181.38
  4. Step 4: Simplify right side
    327.65x = 89,203.59
  5. Step 5: Solve for x
    x = 89,203.59/327.65
  6. Step 6: Final answer
    x = 272.26

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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.