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Finding the Fourth Proportional to 349.31, 523.82 and 114.99

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Solution

The fourth proportional to 349.31, 523.82 and 114.99 is: 172.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.31 : 523.82 = 114.99 : x
  2. Step 2: Convert to fraction form
    349.31/523.82 = 114.99/x
  3. Step 3: Cross multiply
    349.31x = 523.82 × 114.99
  4. Step 4: Simplify right side
    349.31x = 60,231.44
  5. Step 5: Solve for x
    x = 60,231.44/349.31
  6. Step 6: Final answer
    x = 172.43

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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.