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Finding the Fourth Proportional to 348.27, 522.32 and 104.73

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Solution

The fourth proportional to 348.27, 522.32 and 104.73 is: 157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.27 : 522.32 = 104.73 : x
  2. Step 2: Convert to fraction form
    348.27/522.32 = 104.73/x
  3. Step 3: Cross multiply
    348.27x = 522.32 × 104.73
  4. Step 4: Simplify right side
    348.27x = 54,700.09
  5. Step 5: Solve for x
    x = 54,700.09/348.27
  6. Step 6: Final answer
    x = 157.06

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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.