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Finding the Fourth Proportional to 349.83, 523.80 and 194.94

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Solution

The fourth proportional to 349.83, 523.80 and 194.94 is: 291.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.83 : 523.80 = 194.94 : x
  2. Step 2: Convert to fraction form
    349.83/523.80 = 194.94/x
  3. Step 3: Cross multiply
    349.83x = 523.80 × 194.94
  4. Step 4: Simplify right side
    349.83x = 102,109.57
  5. Step 5: Solve for x
    x = 102,109.57/349.83
  6. Step 6: Final answer
    x = 291.88

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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.