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Finding the Fourth Proportional to 349.25, 523.88 and 92.75

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Solution

The fourth proportional to 349.25, 523.88 and 92.75 is: 139.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.25 : 523.88 = 92.75 : x
  2. Step 2: Convert to fraction form
    349.25/523.88 = 92.75/x
  3. Step 3: Cross multiply
    349.25x = 523.88 × 92.75
  4. Step 4: Simplify right side
    349.25x = 48,589.41
  5. Step 5: Solve for x
    x = 48,589.41/349.25
  6. Step 6: Final answer
    x = 139.13

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Why These Related Problems?

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