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Finding the Fourth Proportional to 190.89, 285.89 and 161.07

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Solution

The fourth proportional to 190.89, 285.89 and 161.07 is: 241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.89 : 285.89 = 161.07 : x
  2. Step 2: Convert to fraction form
    190.89/285.89 = 161.07/x
  3. Step 3: Cross multiply
    190.89x = 285.89 × 161.07
  4. Step 4: Simplify right side
    190.89x = 46,047.50
  5. Step 5: Solve for x
    x = 46,047.50/190.89
  6. Step 6: Final answer
    x = 241.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.