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Finding the Fourth Proportional to 290.96, 436.69 and 161.09

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Solution

The fourth proportional to 290.96, 436.69 and 161.09 is: 241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.96 : 436.69 = 161.09 : x
  2. Step 2: Convert to fraction form
    290.96/436.69 = 161.09/x
  3. Step 3: Cross multiply
    290.96x = 436.69 × 161.09
  4. Step 4: Simplify right side
    290.96x = 70,346.05
  5. Step 5: Solve for x
    x = 70,346.05/290.96
  6. Step 6: Final answer
    x = 241.77

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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.