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Finding the Fourth Proportional to 202.89, 280.32 and 161.75

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Solution

The fourth proportional to 202.89, 280.32 and 161.75 is: 223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.89 : 280.32 = 161.75 : x
  2. Step 2: Convert to fraction form
    202.89/280.32 = 161.75/x
  3. Step 3: Cross multiply
    202.89x = 280.32 × 161.75
  4. Step 4: Simplify right side
    202.89x = 45,340.36
  5. Step 5: Solve for x
    x = 45,340.36/202.89
  6. Step 6: Final answer
    x = 223.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.