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Finding the Fourth Proportional to 205.94, 308.95 and 114.75

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Solution

The fourth proportional to 205.94, 308.95 and 114.75 is: 172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.94 : 308.95 = 114.75 : x
  2. Step 2: Convert to fraction form
    205.94/308.95 = 114.75/x
  3. Step 3: Cross multiply
    205.94x = 308.95 × 114.75
  4. Step 4: Simplify right side
    205.94x = 35,451.73
  5. Step 5: Solve for x
    x = 35,451.73/205.94
  6. Step 6: Final answer
    x = 172.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.