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Finding the Fourth Proportional to 205.36, 309.64 and 173.68

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Solution

The fourth proportional to 205.36, 309.64 and 173.68 is: 261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.36 : 309.64 = 173.68 : x
  2. Step 2: Convert to fraction form
    205.36/309.64 = 173.68/x
  3. Step 3: Cross multiply
    205.36x = 309.64 × 173.68
  4. Step 4: Simplify right side
    205.36x = 53,778.28
  5. Step 5: Solve for x
    x = 53,778.28/205.36
  6. Step 6: Final answer
    x = 261.87

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