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Finding the Fourth Proportional to 202.06, 303.66 and 110.80

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Solution

The fourth proportional to 202.06, 303.66 and 110.80 is: 166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.06 : 303.66 = 110.80 : x
  2. Step 2: Convert to fraction form
    202.06/303.66 = 110.80/x
  3. Step 3: Cross multiply
    202.06x = 303.66 × 110.80
  4. Step 4: Simplify right side
    202.06x = 33,645.53
  5. Step 5: Solve for x
    x = 33,645.53/202.06
  6. Step 6: Final answer
    x = 166.51

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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.