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Finding the Fourth Proportional to 216.39, 323.87 and 189.66

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Solution

The fourth proportional to 216.39, 323.87 and 189.66 is: 283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.39 : 323.87 = 189.66 : x
  2. Step 2: Convert to fraction form
    216.39/323.87 = 189.66/x
  3. Step 3: Cross multiply
    216.39x = 323.87 × 189.66
  4. Step 4: Simplify right side
    216.39x = 61,424.24
  5. Step 5: Solve for x
    x = 61,424.24/216.39
  6. Step 6: Final answer
    x = 283.86

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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.