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Finding the Fourth Proportional to 336.83, 505.22 and 199.80

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Solution

The fourth proportional to 336.83, 505.22 and 199.80 is: 299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.83 : 505.22 = 199.80 : x
  2. Step 2: Convert to fraction form
    336.83/505.22 = 199.80/x
  3. Step 3: Cross multiply
    336.83x = 505.22 × 199.80
  4. Step 4: Simplify right side
    336.83x = 100,941.96
  5. Step 5: Solve for x
    x = 100,941.96/336.83
  6. Step 6: Final answer
    x = 299.69

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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.