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Finding the Fourth Proportional to 283.23, 391.10 and 185.09

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Solution

The fourth proportional to 283.23, 391.10 and 185.09 is: 255.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.23 : 391.10 = 185.09 : x
  2. Step 2: Convert to fraction form
    283.23/391.10 = 185.09/x
  3. Step 3: Cross multiply
    283.23x = 391.10 × 185.09
  4. Step 4: Simplify right side
    283.23x = 72,385.82
  5. Step 5: Solve for x
    x = 72,385.82/283.23
  6. Step 6: Final answer
    x = 255.57

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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.