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Finding the Fourth Proportional to 202.69, 303.73 and 182.29

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Solution

The fourth proportional to 202.69, 303.73 and 182.29 is: 273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.69 : 303.73 = 182.29 : x
  2. Step 2: Convert to fraction form
    202.69/303.73 = 182.29/x
  3. Step 3: Cross multiply
    202.69x = 303.73 × 182.29
  4. Step 4: Simplify right side
    202.69x = 55,366.94
  5. Step 5: Solve for x
    x = 55,366.94/202.69
  6. Step 6: Final answer
    x = 273.16

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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.