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Finding the Fourth Proportional to 205.28, 307.77 and 164.69

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Solution

The fourth proportional to 205.28, 307.77 and 164.69 is: 246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.28 : 307.77 = 164.69 : x
  2. Step 2: Convert to fraction form
    205.28/307.77 = 164.69/x
  3. Step 3: Cross multiply
    205.28x = 307.77 × 164.69
  4. Step 4: Simplify right side
    205.28x = 50,685.10
  5. Step 5: Solve for x
    x = 50,685.10/205.28
  6. Step 6: Final answer
    x = 246.91

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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.