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Finding the Fourth Proportional to 263.55, 394.61 and 185.49

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Solution

The fourth proportional to 263.55, 394.61 and 185.49 is: 277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.55 : 394.61 = 185.49 : x
  2. Step 2: Convert to fraction form
    263.55/394.61 = 185.49/x
  3. Step 3: Cross multiply
    263.55x = 394.61 × 185.49
  4. Step 4: Simplify right side
    263.55x = 73,195.28
  5. Step 5: Solve for x
    x = 73,195.28/263.55
  6. Step 6: Final answer
    x = 277.73

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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.