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Finding the Fourth Proportional to 344.60, 516.86 and 113.48

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Solution

The fourth proportional to 344.60, 516.86 and 113.48 is: 170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.60 : 516.86 = 113.48 : x
  2. Step 2: Convert to fraction form
    344.60/516.86 = 113.48/x
  3. Step 3: Cross multiply
    344.60x = 516.86 × 113.48
  4. Step 4: Simplify right side
    344.60x = 58,654.85
  5. Step 5: Solve for x
    x = 58,654.85/344.60
  6. Step 6: Final answer
    x = 170.21

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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.