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Finding the Fourth Proportional to 283.85, 391.53 and 205.25

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Solution

The fourth proportional to 283.85, 391.53 and 205.25 is: 283.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.85 : 391.53 = 205.25 : x
  2. Step 2: Convert to fraction form
    283.85/391.53 = 205.25/x
  3. Step 3: Cross multiply
    283.85x = 391.53 × 205.25
  4. Step 4: Simplify right side
    283.85x = 80,362.55
  5. Step 5: Solve for x
    x = 80,362.55/283.85
  6. Step 6: Final answer
    x = 283.12

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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.