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Finding the Fourth Proportional to 202.02, 302.56 and 169.73

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Solution

The fourth proportional to 202.02, 302.56 and 169.73 is: 254.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.02 : 302.56 = 169.73 : x
  2. Step 2: Convert to fraction form
    202.02/302.56 = 169.73/x
  3. Step 3: Cross multiply
    202.02x = 302.56 × 169.73
  4. Step 4: Simplify right side
    202.02x = 51,351.57
  5. Step 5: Solve for x
    x = 51,351.57/202.02
  6. Step 6: Final answer
    x = 254.19

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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.