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Finding the Fourth Proportional to 354.08, 531.09 and 199.91

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Solution

The fourth proportional to 354.08, 531.09 and 199.91 is: 299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.08 : 531.09 = 199.91 : x
  2. Step 2: Convert to fraction form
    354.08/531.09 = 199.91/x
  3. Step 3: Cross multiply
    354.08x = 531.09 × 199.91
  4. Step 4: Simplify right side
    354.08x = 106,167.55
  5. Step 5: Solve for x
    x = 106,167.55/354.08
  6. Step 6: Final answer
    x = 299.84

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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.