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Finding the Fourth Proportional to 205.48, 309.60 and 183.37

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Solution

The fourth proportional to 205.48, 309.60 and 183.37 is: 276.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.48 : 309.60 = 183.37 : x
  2. Step 2: Convert to fraction form
    205.48/309.60 = 183.37/x
  3. Step 3: Cross multiply
    205.48x = 309.60 × 183.37
  4. Step 4: Simplify right side
    205.48x = 56,770.44
  5. Step 5: Solve for x
    x = 56,770.44/205.48
  6. Step 6: Final answer
    x = 276.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.