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Finding the Fourth Proportional to 205.25, 307.96 and 137.07

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Solution

The fourth proportional to 205.25, 307.96 and 137.07 is: 205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.25 : 307.96 = 137.07 : x
  2. Step 2: Convert to fraction form
    205.25/307.96 = 137.07/x
  3. Step 3: Cross multiply
    205.25x = 307.96 × 137.07
  4. Step 4: Simplify right side
    205.25x = 42,211.73
  5. Step 5: Solve for x
    x = 42,211.73/205.25
  6. Step 6: Final answer
    x = 205.67

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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.