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Finding the Fourth Proportional to 283.44, 424.92 and 192

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Solution

The fourth proportional to 283.44, 424.92 and 192 is: 287.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.44 : 424.92 = 192 : x
  2. Step 2: Convert to fraction form
    283.44/424.92 = 192/x
  3. Step 3: Cross multiply
    283.44x = 424.92 × 192
  4. Step 4: Simplify right side
    283.44x = 81,584.64
  5. Step 5: Solve for x
    x = 81,584.64/283.44
  6. Step 6: Final answer
    x = 287.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.