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Finding the Fourth Proportional to 216.21, 323.49 and 190.32

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Solution

The fourth proportional to 216.21, 323.49 and 190.32 is: 284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.21 : 323.49 = 190.32 : x
  2. Step 2: Convert to fraction form
    216.21/323.49 = 190.32/x
  3. Step 3: Cross multiply
    216.21x = 323.49 × 190.32
  4. Step 4: Simplify right side
    216.21x = 61,566.62
  5. Step 5: Solve for x
    x = 61,566.62/216.21
  6. Step 6: Final answer
    x = 284.75

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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.