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Finding the Fourth Proportional to 348.93, 523.67 and 194.83

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Solution

The fourth proportional to 348.93, 523.67 and 194.83 is: 292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.93 : 523.67 = 194.83 : x
  2. Step 2: Convert to fraction form
    348.93/523.67 = 194.83/x
  3. Step 3: Cross multiply
    348.93x = 523.67 × 194.83
  4. Step 4: Simplify right side
    348.93x = 102,025.80
  5. Step 5: Solve for x
    x = 102,025.80/348.93
  6. Step 6: Final answer
    x = 292.40

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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.