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Finding the Fourth Proportional to 287.16, 395.90 and 198.48

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Solution

The fourth proportional to 287.16, 395.90 and 198.48 is: 273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.16 : 395.90 = 198.48 : x
  2. Step 2: Convert to fraction form
    287.16/395.90 = 198.48/x
  3. Step 3: Cross multiply
    287.16x = 395.90 × 198.48
  4. Step 4: Simplify right side
    287.16x = 78,578.23
  5. Step 5: Solve for x
    x = 78,578.23/287.16
  6. Step 6: Final answer
    x = 273.64

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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.