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Finding the Fourth Proportional to 326.16, 489.24 and 189.23

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Solution

The fourth proportional to 326.16, 489.24 and 189.23 is: 283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.16 : 489.24 = 189.23 : x
  2. Step 2: Convert to fraction form
    326.16/489.24 = 189.23/x
  3. Step 3: Cross multiply
    326.16x = 489.24 × 189.23
  4. Step 4: Simplify right side
    326.16x = 92,576.44
  5. Step 5: Solve for x
    x = 92,576.44/326.16
  6. Step 6: Final answer
    x = 283.84

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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.