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Finding the Fourth Proportional to 336.80, 504.90 and 199.70

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Solution

The fourth proportional to 336.80, 504.90 and 199.70 is: 299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.80 : 504.90 = 199.70 : x
  2. Step 2: Convert to fraction form
    336.80/504.90 = 199.70/x
  3. Step 3: Cross multiply
    336.80x = 504.90 × 199.70
  4. Step 4: Simplify right side
    336.80x = 100,828.53
  5. Step 5: Solve for x
    x = 100,828.53/336.80
  6. Step 6: Final answer
    x = 299.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.