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Finding the Fourth Proportional to 287.64, 396.96 and 204.64

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Solution

The fourth proportional to 287.64, 396.96 and 204.64 is: 282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.64 : 396.96 = 204.64 : x
  2. Step 2: Convert to fraction form
    287.64/396.96 = 204.64/x
  3. Step 3: Cross multiply
    287.64x = 396.96 × 204.64
  4. Step 4: Simplify right side
    287.64x = 81,233.89
  5. Step 5: Solve for x
    x = 81,233.89/287.64
  6. Step 6: Final answer
    x = 282.42

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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.