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Finding the Fourth Proportional to 205.88, 284.12 and 161.67

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Solution

The fourth proportional to 205.88, 284.12 and 161.67 is: 223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 284.12 = 161.67 : x
  2. Step 2: Convert to fraction form
    205.88/284.12 = 161.67/x
  3. Step 3: Cross multiply
    205.88x = 284.12 × 161.67
  4. Step 4: Simplify right side
    205.88x = 45,933.68
  5. Step 5: Solve for x
    x = 45,933.68/205.88
  6. Step 6: Final answer
    x = 223.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.