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Finding the Fourth Proportional to 205.46, 308.24 and 75.50

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Solution

The fourth proportional to 205.46, 308.24 and 75.50 is: 113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.46 : 308.24 = 75.50 : x
  2. Step 2: Convert to fraction form
    205.46/308.24 = 75.50/x
  3. Step 3: Cross multiply
    205.46x = 308.24 × 75.50
  4. Step 4: Simplify right side
    205.46x = 23,272.12
  5. Step 5: Solve for x
    x = 23,272.12/205.46
  6. Step 6: Final answer
    x = 113.27

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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.