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Finding the Fourth Proportional to 336.80, 505.38 and 200.18

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Solution

The fourth proportional to 336.80, 505.38 and 200.18 is: 300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.80 : 505.38 = 200.18 : x
  2. Step 2: Convert to fraction form
    336.80/505.38 = 200.18/x
  3. Step 3: Cross multiply
    336.80x = 505.38 × 200.18
  4. Step 4: Simplify right side
    336.80x = 101,166.97
  5. Step 5: Solve for x
    x = 101,166.97/336.80
  6. Step 6: Final answer
    x = 300.38

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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.