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Finding the Fourth Proportional to 202.20, 302.97 and 110.73

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Solution

The fourth proportional to 202.20, 302.97 and 110.73 is: 165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.20 : 302.97 = 110.73 : x
  2. Step 2: Convert to fraction form
    202.20/302.97 = 110.73/x
  3. Step 3: Cross multiply
    202.20x = 302.97 × 110.73
  4. Step 4: Simplify right side
    202.20x = 33,547.87
  5. Step 5: Solve for x
    x = 33,547.87/202.20
  6. Step 6: Final answer
    x = 165.91

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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.