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Finding the Fourth Proportional to 349.19, 523.97 and 166.55

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Solution

The fourth proportional to 349.19, 523.97 and 166.55 is: 249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.19 : 523.97 = 166.55 : x
  2. Step 2: Convert to fraction form
    349.19/523.97 = 166.55/x
  3. Step 3: Cross multiply
    349.19x = 523.97 × 166.55
  4. Step 4: Simplify right side
    349.19x = 87,266.37
  5. Step 5: Solve for x
    x = 87,266.37/349.19
  6. Step 6: Final answer
    x = 249.91

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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.