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Finding the Fourth Proportional to 365.83, 504.85 and 200.05

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Solution

The fourth proportional to 365.83, 504.85 and 200.05 is: 276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.83 : 504.85 = 200.05 : x
  2. Step 2: Convert to fraction form
    365.83/504.85 = 200.05/x
  3. Step 3: Cross multiply
    365.83x = 504.85 × 200.05
  4. Step 4: Simplify right side
    365.83x = 100,993.48
  5. Step 5: Solve for x
    x = 100,993.48/365.83
  6. Step 6: Final answer
    x = 276.07

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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.