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Finding the Fourth Proportional to 205.35, 308.33 and 164.65

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Solution

The fourth proportional to 205.35, 308.33 and 164.65 is: 247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.35 : 308.33 = 164.65 : x
  2. Step 2: Convert to fraction form
    205.35/308.33 = 164.65/x
  3. Step 3: Cross multiply
    205.35x = 308.33 × 164.65
  4. Step 4: Simplify right side
    205.35x = 50,766.53
  5. Step 5: Solve for x
    x = 50,766.53/205.35
  6. Step 6: Final answer
    x = 247.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.