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Finding the Fourth Proportional to 344.45, 516.59 and 138.96

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Solution

The fourth proportional to 344.45, 516.59 and 138.96 is: 208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.45 : 516.59 = 138.96 : x
  2. Step 2: Convert to fraction form
    344.45/516.59 = 138.96/x
  3. Step 3: Cross multiply
    344.45x = 516.59 × 138.96
  4. Step 4: Simplify right side
    344.45x = 71,785.05
  5. Step 5: Solve for x
    x = 71,785.05/344.45
  6. Step 6: Final answer
    x = 208.40

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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.