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Finding the Fourth Proportional to 349, 523.09 and 194.85

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Solution

The fourth proportional to 349, 523.09 and 194.85 is: 292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    349 : 523.09 = 194.85 : x
  2. Step 2: Convert to fraction form
    349/523.09 = 194.85/x
  3. Step 3: Cross multiply
    349x = 523.09 × 194.85
  4. Step 4: Simplify right side
    349x = 101,924.09
  5. Step 5: Solve for x
    x = 101,924.09/349
  6. Step 6: Final answer
    x = 292.05

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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.