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Finding the Fourth Proportional to 287.16, 396.36 and 199.80

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Solution

The fourth proportional to 287.16, 396.36 and 199.80 is: 275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.16 : 396.36 = 199.80 : x
  2. Step 2: Convert to fraction form
    287.16/396.36 = 199.80/x
  3. Step 3: Cross multiply
    287.16x = 396.36 × 199.80
  4. Step 4: Simplify right side
    287.16x = 79,192.73
  5. Step 5: Solve for x
    x = 79,192.73/287.16
  6. Step 6: Final answer
    x = 275.78

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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.