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Finding the Fourth Proportional to 205.03, 306.81 and 143.86

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Solution

The fourth proportional to 205.03, 306.81 and 143.86 is: 215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.03 : 306.81 = 143.86 : x
  2. Step 2: Convert to fraction form
    205.03/306.81 = 143.86/x
  3. Step 3: Cross multiply
    205.03x = 306.81 × 143.86
  4. Step 4: Simplify right side
    205.03x = 44,137.69
  5. Step 5: Solve for x
    x = 44,137.69/205.03
  6. Step 6: Final answer
    x = 215.27

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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.