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Finding the Fourth Proportional to 202.23, 279.21 and 143.23

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Solution

The fourth proportional to 202.23, 279.21 and 143.23 is: 197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.23 : 279.21 = 143.23 : x
  2. Step 2: Convert to fraction form
    202.23/279.21 = 143.23/x
  3. Step 3: Cross multiply
    202.23x = 279.21 × 143.23
  4. Step 4: Simplify right side
    202.23x = 39,991.25
  5. Step 5: Solve for x
    x = 39,991.25/202.23
  6. Step 6: Final answer
    x = 197.75

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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.