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Finding the Fourth Proportional to 160.81, 241.26 and 122.33

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Solution

The fourth proportional to 160.81, 241.26 and 122.33 is: 183.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.81 : 241.26 = 122.33 : x
  2. Step 2: Convert to fraction form
    160.81/241.26 = 122.33/x
  3. Step 3: Cross multiply
    160.81x = 241.26 × 122.33
  4. Step 4: Simplify right side
    160.81x = 29,513.34
  5. Step 5: Solve for x
    x = 29,513.34/160.81
  6. Step 6: Final answer
    x = 183.53

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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.