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Finding the Fourth Proportional to 205.30, 307.77 and 109.02

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Solution

The fourth proportional to 205.30, 307.77 and 109.02 is: 163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.30 : 307.77 = 109.02 : x
  2. Step 2: Convert to fraction form
    205.30/307.77 = 109.02/x
  3. Step 3: Cross multiply
    205.30x = 307.77 × 109.02
  4. Step 4: Simplify right side
    205.30x = 33,553.09
  5. Step 5: Solve for x
    x = 33,553.09/205.30
  6. Step 6: Final answer
    x = 163.43

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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.