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Finding the Fourth Proportional to 202.80, 279.94 and 161.44

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Solution

The fourth proportional to 202.80, 279.94 and 161.44 is: 222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.80 : 279.94 = 161.44 : x
  2. Step 2: Convert to fraction form
    202.80/279.94 = 161.44/x
  3. Step 3: Cross multiply
    202.80x = 279.94 × 161.44
  4. Step 4: Simplify right side
    202.80x = 45,193.51
  5. Step 5: Solve for x
    x = 45,193.51/202.80
  6. Step 6: Final answer
    x = 222.85

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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.