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Finding the Fourth Proportional to 344.14, 515.72 and 161.08

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Solution

The fourth proportional to 344.14, 515.72 and 161.08 is: 241.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.14 : 515.72 = 161.08 : x
  2. Step 2: Convert to fraction form
    344.14/515.72 = 161.08/x
  3. Step 3: Cross multiply
    344.14x = 515.72 × 161.08
  4. Step 4: Simplify right side
    344.14x = 83,072.18
  5. Step 5: Solve for x
    x = 83,072.18/344.14
  6. Step 6: Final answer
    x = 241.39

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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.