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Finding the Fourth Proportional to 205.05, 307.29 and 83.19

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Solution

The fourth proportional to 205.05, 307.29 and 83.19 is: 124.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.05 : 307.29 = 83.19 : x
  2. Step 2: Convert to fraction form
    205.05/307.29 = 83.19/x
  3. Step 3: Cross multiply
    205.05x = 307.29 × 83.19
  4. Step 4: Simplify right side
    205.05x = 25,563.46
  5. Step 5: Solve for x
    x = 25,563.46/205.05
  6. Step 6: Final answer
    x = 124.67

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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.