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Finding the Fourth Proportional to 348.50, 523.06 and 194.54

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Solution

The fourth proportional to 348.50, 523.06 and 194.54 is: 291.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.50 : 523.06 = 194.54 : x
  2. Step 2: Convert to fraction form
    348.50/523.06 = 194.54/x
  3. Step 3: Cross multiply
    348.50x = 523.06 × 194.54
  4. Step 4: Simplify right side
    348.50x = 101,752.99
  5. Step 5: Solve for x
    x = 101,752.99/348.50
  6. Step 6: Final answer
    x = 291.97

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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.