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Finding the Fourth Proportional to 348.93, 523.26 and 166.19

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Solution

The fourth proportional to 348.93, 523.26 and 166.19 is: 249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.93 : 523.26 = 166.19 : x
  2. Step 2: Convert to fraction form
    348.93/523.26 = 166.19/x
  3. Step 3: Cross multiply
    348.93x = 523.26 × 166.19
  4. Step 4: Simplify right side
    348.93x = 86,957.96
  5. Step 5: Solve for x
    x = 86,957.96/348.93
  6. Step 6: Final answer
    x = 249.21

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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.