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Finding the Fourth Proportional to 161.80, 241.42 and 150.33

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Solution

The fourth proportional to 161.80, 241.42 and 150.33 is: 224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.80 : 241.42 = 150.33 : x
  2. Step 2: Convert to fraction form
    161.80/241.42 = 150.33/x
  3. Step 3: Cross multiply
    161.80x = 241.42 × 150.33
  4. Step 4: Simplify right side
    161.80x = 36,291.92
  5. Step 5: Solve for x
    x = 36,291.92/161.80
  6. Step 6: Final answer
    x = 224.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.