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Finding the Fourth Proportional to 205.20, 307.67 and 102.33

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Solution

The fourth proportional to 205.20, 307.67 and 102.33 is: 153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.20 : 307.67 = 102.33 : x
  2. Step 2: Convert to fraction form
    205.20/307.67 = 102.33/x
  3. Step 3: Cross multiply
    205.20x = 307.67 × 102.33
  4. Step 4: Simplify right side
    205.20x = 31,483.36
  5. Step 5: Solve for x
    x = 31,483.36/205.20
  6. Step 6: Final answer
    x = 153.43

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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.