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Finding the Fourth Proportional to 349.26, 523.14 and 194.64

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Solution

The fourth proportional to 349.26, 523.14 and 194.64 is: 291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.26 : 523.14 = 194.64 : x
  2. Step 2: Convert to fraction form
    349.26/523.14 = 194.64/x
  3. Step 3: Cross multiply
    349.26x = 523.14 × 194.64
  4. Step 4: Simplify right side
    349.26x = 101,823.97
  5. Step 5: Solve for x
    x = 101,823.97/349.26
  6. Step 6: Final answer
    x = 291.54

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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.