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Finding the Fourth Proportional to 205.40, 308.09 and 51.33

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Solution

The fourth proportional to 205.40, 308.09 and 51.33 is: 76.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.40 : 308.09 = 51.33 : x
  2. Step 2: Convert to fraction form
    205.40/308.09 = 51.33/x
  3. Step 3: Cross multiply
    205.40x = 308.09 × 51.33
  4. Step 4: Simplify right side
    205.40x = 15,814.26
  5. Step 5: Solve for x
    x = 15,814.26/205.40
  6. Step 6: Final answer
    x = 76.99

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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.