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Finding the Fourth Proportional to 202.36, 279.54 and 163.72

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Solution

The fourth proportional to 202.36, 279.54 and 163.72 is: 226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.36 : 279.54 = 163.72 : x
  2. Step 2: Convert to fraction form
    202.36/279.54 = 163.72/x
  3. Step 3: Cross multiply
    202.36x = 279.54 × 163.72
  4. Step 4: Simplify right side
    202.36x = 45,766.29
  5. Step 5: Solve for x
    x = 45,766.29/202.36
  6. Step 6: Final answer
    x = 226.16

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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.