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Finding the Fourth Proportional to 336.12, 505.13 and 199.23

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Solution

The fourth proportional to 336.12, 505.13 and 199.23 is: 299.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.12 : 505.13 = 199.23 : x
  2. Step 2: Convert to fraction form
    336.12/505.13 = 199.23/x
  3. Step 3: Cross multiply
    336.12x = 505.13 × 199.23
  4. Step 4: Simplify right side
    336.12x = 100,636.05
  5. Step 5: Solve for x
    x = 100,636.05/336.12
  6. Step 6: Final answer
    x = 299.41

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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.