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Finding the Fourth Proportional to 202.87, 279.91 and 119.94

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Solution

The fourth proportional to 202.87, 279.91 and 119.94 is: 165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.87 : 279.91 = 119.94 : x
  2. Step 2: Convert to fraction form
    202.87/279.91 = 119.94/x
  3. Step 3: Cross multiply
    202.87x = 279.91 × 119.94
  4. Step 4: Simplify right side
    202.87x = 33,571.81
  5. Step 5: Solve for x
    x = 33,571.81/202.87
  6. Step 6: Final answer
    x = 165.48

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