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Finding the Fourth Proportional to 283.64, 391.05 and 204.89

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Solution

The fourth proportional to 283.64, 391.05 and 204.89 is: 282.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.64 : 391.05 = 204.89 : x
  2. Step 2: Convert to fraction form
    283.64/391.05 = 204.89/x
  3. Step 3: Cross multiply
    283.64x = 391.05 × 204.89
  4. Step 4: Simplify right side
    283.64x = 80,122.23
  5. Step 5: Solve for x
    x = 80,122.23/283.64
  6. Step 6: Final answer
    x = 282.48

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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.