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Finding the Fourth Proportional to 205.36, 307.36 and 112.67

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Solution

The fourth proportional to 205.36, 307.36 and 112.67 is: 168.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.36 : 307.36 = 112.67 : x
  2. Step 2: Convert to fraction form
    205.36/307.36 = 112.67/x
  3. Step 3: Cross multiply
    205.36x = 307.36 × 112.67
  4. Step 4: Simplify right side
    205.36x = 34,630.25
  5. Step 5: Solve for x
    x = 34,630.25/205.36
  6. Step 6: Final answer
    x = 168.63

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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.