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Finding the Fourth Proportional to 287.27, 396.41 and 169.23

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Solution

The fourth proportional to 287.27, 396.41 and 169.23 is: 233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.27 : 396.41 = 169.23 : x
  2. Step 2: Convert to fraction form
    287.27/396.41 = 169.23/x
  3. Step 3: Cross multiply
    287.27x = 396.41 × 169.23
  4. Step 4: Simplify right side
    287.27x = 67,084.89
  5. Step 5: Solve for x
    x = 67,084.89/287.27
  6. Step 6: Final answer
    x = 233.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.