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Finding the Fourth Proportional to 205.83, 308.25 and 140.67

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Solution

The fourth proportional to 205.83, 308.25 and 140.67 is: 210.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.83 : 308.25 = 140.67 : x
  2. Step 2: Convert to fraction form
    205.83/308.25 = 140.67/x
  3. Step 3: Cross multiply
    205.83x = 308.25 × 140.67
  4. Step 4: Simplify right side
    205.83x = 43,361.53
  5. Step 5: Solve for x
    x = 43,361.53/205.83
  6. Step 6: Final answer
    x = 210.67

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Why These Related Problems?

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