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Finding the Fourth Proportional to 348.76, 523.34 and 166.24

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Solution

The fourth proportional to 348.76, 523.34 and 166.24 is: 249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.76 : 523.34 = 166.24 : x
  2. Step 2: Convert to fraction form
    348.76/523.34 = 166.24/x
  3. Step 3: Cross multiply
    348.76x = 523.34 × 166.24
  4. Step 4: Simplify right side
    348.76x = 87,000.04
  5. Step 5: Solve for x
    x = 87,000.04/348.76
  6. Step 6: Final answer
    x = 249.46

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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.