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Finding the Fourth Proportional to 202.67, 279.74 and 119.84

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Solution

The fourth proportional to 202.67, 279.74 and 119.84 is: 165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.67 : 279.74 = 119.84 : x
  2. Step 2: Convert to fraction form
    202.67/279.74 = 119.84/x
  3. Step 3: Cross multiply
    202.67x = 279.74 × 119.84
  4. Step 4: Simplify right side
    202.67x = 33,523.54
  5. Step 5: Solve for x
    x = 33,523.54/202.67
  6. Step 6: Final answer
    x = 165.41

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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.