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Finding the Fourth Proportional to 205.37, 307.97 and 102.69

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Solution

The fourth proportional to 205.37, 307.97 and 102.69 is: 153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.37 : 307.97 = 102.69 : x
  2. Step 2: Convert to fraction form
    205.37/307.97 = 102.69/x
  3. Step 3: Cross multiply
    205.37x = 307.97 × 102.69
  4. Step 4: Simplify right side
    205.37x = 31,625.44
  5. Step 5: Solve for x
    x = 31,625.44/205.37
  6. Step 6: Final answer
    x = 153.99

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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.