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Finding the Fourth Proportional to 202.82, 304.09 and 110.27

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Solution

The fourth proportional to 202.82, 304.09 and 110.27 is: 165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.82 : 304.09 = 110.27 : x
  2. Step 2: Convert to fraction form
    202.82/304.09 = 110.27/x
  3. Step 3: Cross multiply
    202.82x = 304.09 × 110.27
  4. Step 4: Simplify right side
    202.82x = 33,532.49
  5. Step 5: Solve for x
    x = 33,532.49/202.82
  6. Step 6: Final answer
    x = 165.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.