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Finding the Fourth Proportional to 287.98, 397.42 and 163.64

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Solution

The fourth proportional to 287.98, 397.42 and 163.64 is: 225.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.98 : 397.42 = 163.64 : x
  2. Step 2: Convert to fraction form
    287.98/397.42 = 163.64/x
  3. Step 3: Cross multiply
    287.98x = 397.42 × 163.64
  4. Step 4: Simplify right side
    287.98x = 65,033.81
  5. Step 5: Solve for x
    x = 65,033.81/287.98
  6. Step 6: Final answer
    x = 225.83

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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.