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Finding the Fourth Proportional to 365.12, 503.87 and 199.34

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Solution

The fourth proportional to 365.12, 503.87 and 199.34 is: 275.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.12 : 503.87 = 199.34 : x
  2. Step 2: Convert to fraction form
    365.12/503.87 = 199.34/x
  3. Step 3: Cross multiply
    365.12x = 503.87 × 199.34
  4. Step 4: Simplify right side
    365.12x = 100,439.82
  5. Step 5: Solve for x
    x = 100,439.82/365.12
  6. Step 6: Final answer
    x = 275.09

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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.