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Finding the Fourth Proportional to 216.84, 323.69 and 189.50

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Solution

The fourth proportional to 216.84, 323.69 and 189.50 is: 282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.84 : 323.69 = 189.50 : x
  2. Step 2: Convert to fraction form
    216.84/323.69 = 189.50/x
  3. Step 3: Cross multiply
    216.84x = 323.69 × 189.50
  4. Step 4: Simplify right side
    216.84x = 61,339.26
  5. Step 5: Solve for x
    x = 61,339.26/216.84
  6. Step 6: Final answer
    x = 282.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.