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Finding the Fourth Proportional to 365.38, 504.21 and 199.59

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Solution

The fourth proportional to 365.38, 504.21 and 199.59 is: 275.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.38 : 504.21 = 199.59 : x
  2. Step 2: Convert to fraction form
    365.38/504.21 = 199.59/x
  3. Step 3: Cross multiply
    365.38x = 504.21 × 199.59
  4. Step 4: Simplify right side
    365.38x = 100,635.27
  5. Step 5: Solve for x
    x = 100,635.27/365.38
  6. Step 6: Final answer
    x = 275.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.