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Finding the Fourth Proportional to 262.67, 394.35 and 185.67

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Solution

The fourth proportional to 262.67, 394.35 and 185.67 is: 278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.67 : 394.35 = 185.67 : x
  2. Step 2: Convert to fraction form
    262.67/394.35 = 185.67/x
  3. Step 3: Cross multiply
    262.67x = 394.35 × 185.67
  4. Step 4: Simplify right side
    262.67x = 73,218.96
  5. Step 5: Solve for x
    x = 73,218.96/262.67
  6. Step 6: Final answer
    x = 278.75

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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.