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Finding the Fourth Proportional to 202.23, 279.16 and 119.38

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Solution

The fourth proportional to 202.23, 279.16 and 119.38 is: 164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.23 : 279.16 = 119.38 : x
  2. Step 2: Convert to fraction form
    202.23/279.16 = 119.38/x
  3. Step 3: Cross multiply
    202.23x = 279.16 × 119.38
  4. Step 4: Simplify right side
    202.23x = 33,324.83
  5. Step 5: Solve for x
    x = 33,324.83/202.23
  6. Step 6: Final answer
    x = 164.78

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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.