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Finding the Fourth Proportional to 202.45, 279.42 and 118.48

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Solution

The fourth proportional to 202.45, 279.42 and 118.48 is: 163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.45 : 279.42 = 118.48 : x
  2. Step 2: Convert to fraction form
    202.45/279.42 = 118.48/x
  3. Step 3: Cross multiply
    202.45x = 279.42 × 118.48
  4. Step 4: Simplify right side
    202.45x = 33,104.28
  5. Step 5: Solve for x
    x = 33,104.28/202.45
  6. Step 6: Final answer
    x = 163.52

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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.