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Finding the Fourth Proportional to 348.97, 523.64 and 194.80

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Solution

The fourth proportional to 348.97, 523.64 and 194.80 is: 292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.97 : 523.64 = 194.80 : x
  2. Step 2: Convert to fraction form
    348.97/523.64 = 194.80/x
  3. Step 3: Cross multiply
    348.97x = 523.64 × 194.80
  4. Step 4: Simplify right side
    348.97x = 102,004.10
  5. Step 5: Solve for x
    x = 102,004.10/348.97
  6. Step 6: Final answer
    x = 292.30

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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.