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Finding the Fourth Proportional to 205.37, 307.96 and 75.33

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Solution

The fourth proportional to 205.37, 307.96 and 75.33 is: 112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.37 : 307.96 = 75.33 : x
  2. Step 2: Convert to fraction form
    205.37/307.96 = 75.33/x
  3. Step 3: Cross multiply
    205.37x = 307.96 × 75.33
  4. Step 4: Simplify right side
    205.37x = 23,197.48
  5. Step 5: Solve for x
    x = 23,197.48/205.37
  6. Step 6: Final answer
    x = 112.96

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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.