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Finding the Fourth Proportional to 213.85, 321.14 and 202.89

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Solution

The fourth proportional to 213.85, 321.14 and 202.89 is: 304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.85 : 321.14 = 202.89 : x
  2. Step 2: Convert to fraction form
    213.85/321.14 = 202.89/x
  3. Step 3: Cross multiply
    213.85x = 321.14 × 202.89
  4. Step 4: Simplify right side
    213.85x = 65,155.59
  5. Step 5: Solve for x
    x = 65,155.59/213.85
  6. Step 6: Final answer
    x = 304.68

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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.