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Finding the Fourth Proportional to 213.66, 321 and 190.62

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Solution

The fourth proportional to 213.66, 321 and 190.62 is: 286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.66 : 321 = 190.62 : x
  2. Step 2: Convert to fraction form
    213.66/321 = 190.62/x
  3. Step 3: Cross multiply
    213.66x = 321 × 190.62
  4. Step 4: Simplify right side
    213.66x = 61,189.02
  5. Step 5: Solve for x
    x = 61,189.02/213.66
  6. Step 6: Final answer
    x = 286.39

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