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Finding the Fourth Proportional to 262.98, 394.42 and 180.66

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Solution

The fourth proportional to 262.98, 394.42 and 180.66 is: 270.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.98 : 394.42 = 180.66 : x
  2. Step 2: Convert to fraction form
    262.98/394.42 = 180.66/x
  3. Step 3: Cross multiply
    262.98x = 394.42 × 180.66
  4. Step 4: Simplify right side
    262.98x = 71,257.28
  5. Step 5: Solve for x
    x = 71,257.28/262.98
  6. Step 6: Final answer
    x = 270.96

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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.