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Finding the Fourth Proportional to 205.46, 308.09 and 75.37

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Solution

The fourth proportional to 205.46, 308.09 and 75.37 is: 113.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.46 : 308.09 = 75.37 : x
  2. Step 2: Convert to fraction form
    205.46/308.09 = 75.37/x
  3. Step 3: Cross multiply
    205.46x = 308.09 × 75.37
  4. Step 4: Simplify right side
    205.46x = 23,220.16
  5. Step 5: Solve for x
    x = 23,220.16/205.46
  6. Step 6: Final answer
    x = 113.01

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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.