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Finding the Fourth Proportional to 205.48, 308.20 and 75.48

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Solution

The fourth proportional to 205.48, 308.20 and 75.48 is: 113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.48 : 308.20 = 75.48 : x
  2. Step 2: Convert to fraction form
    205.48/308.20 = 75.48/x
  3. Step 3: Cross multiply
    205.48x = 308.20 × 75.48
  4. Step 4: Simplify right side
    205.48x = 23,262.94
  5. Step 5: Solve for x
    x = 23,262.94/205.48
  6. Step 6: Final answer
    x = 113.21

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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.