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Finding the Fourth Proportional to 161.82, 224.46 and 157.77

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Solution

The fourth proportional to 161.82, 224.46 and 157.77 is: 218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.82 : 224.46 = 157.77 : x
  2. Step 2: Convert to fraction form
    161.82/224.46 = 157.77/x
  3. Step 3: Cross multiply
    161.82x = 224.46 × 157.77
  4. Step 4: Simplify right side
    161.82x = 35,413.05
  5. Step 5: Solve for x
    x = 35,413.05/161.82
  6. Step 6: Final answer
    x = 218.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.