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Finding the Fourth Proportional to 344.32, 515.86 and 161.33

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Solution

The fourth proportional to 344.32, 515.86 and 161.33 is: 241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.32 : 515.86 = 161.33 : x
  2. Step 2: Convert to fraction form
    344.32/515.86 = 161.33/x
  3. Step 3: Cross multiply
    344.32x = 515.86 × 161.33
  4. Step 4: Simplify right side
    344.32x = 83,220.71
  5. Step 5: Solve for x
    x = 83,220.71/344.32
  6. Step 6: Final answer
    x = 241.70

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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.