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Finding the Fourth Proportional to 348.88, 523.43 and 166.43

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Solution

The fourth proportional to 348.88, 523.43 and 166.43 is: 249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.88 : 523.43 = 166.43 : x
  2. Step 2: Convert to fraction form
    348.88/523.43 = 166.43/x
  3. Step 3: Cross multiply
    348.88x = 523.43 × 166.43
  4. Step 4: Simplify right side
    348.88x = 87,114.45
  5. Step 5: Solve for x
    x = 87,114.45/348.88
  6. Step 6: Final answer
    x = 249.70

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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.