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Finding the Fourth Proportional to 344.14, 516.29 and 198.05

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Solution

The fourth proportional to 344.14, 516.29 and 198.05 is: 297.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.14 : 516.29 = 198.05 : x
  2. Step 2: Convert to fraction form
    344.14/516.29 = 198.05/x
  3. Step 3: Cross multiply
    344.14x = 516.29 × 198.05
  4. Step 4: Simplify right side
    344.14x = 102,247.66
  5. Step 5: Solve for x
    x = 102,247.66/344.14
  6. Step 6: Final answer
    x = 297.11

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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.