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Finding the Fourth Proportional to 319.82, 441.34 and 181.82

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Solution

The fourth proportional to 319.82, 441.34 and 181.82 is: 250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.82 : 441.34 = 181.82 : x
  2. Step 2: Convert to fraction form
    319.82/441.34 = 181.82/x
  3. Step 3: Cross multiply
    319.82x = 441.34 × 181.82
  4. Step 4: Simplify right side
    319.82x = 80,242.69
  5. Step 5: Solve for x
    x = 80,242.69/319.82
  6. Step 6: Final answer
    x = 250.90

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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.