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Finding the Fourth Proportional to 287.61, 396.85 and 163.25

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Solution

The fourth proportional to 287.61, 396.85 and 163.25 is: 225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.61 : 396.85 = 163.25 : x
  2. Step 2: Convert to fraction form
    287.61/396.85 = 163.25/x
  3. Step 3: Cross multiply
    287.61x = 396.85 × 163.25
  4. Step 4: Simplify right side
    287.61x = 64,783.37
  5. Step 5: Solve for x
    x = 64,783.37/287.61
  6. Step 6: Final answer
    x = 225.25

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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.