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Finding the Fourth Proportional to 202, 303.15 and 110.80

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Solution

The fourth proportional to 202, 303.15 and 110.80 is: 166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202 : 303.15 = 110.80 : x
  2. Step 2: Convert to fraction form
    202/303.15 = 110.80/x
  3. Step 3: Cross multiply
    202x = 303.15 × 110.80
  4. Step 4: Simplify right side
    202x = 33,589.02
  5. Step 5: Solve for x
    x = 33,589.02/202
  6. Step 6: Final answer
    x = 166.28

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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.