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Finding the Fourth Proportional to 205.87, 307.44 and 195.34

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Solution

The fourth proportional to 205.87, 307.44 and 195.34 is: 291.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.87 : 307.44 = 195.34 : x
  2. Step 2: Convert to fraction form
    205.87/307.44 = 195.34/x
  3. Step 3: Cross multiply
    205.87x = 307.44 × 195.34
  4. Step 4: Simplify right side
    205.87x = 60,055.33
  5. Step 5: Solve for x
    x = 60,055.33/205.87
  6. Step 6: Final answer
    x = 291.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.