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Finding the Fourth Proportional to 424.14, 636.21 and 180.54

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Solution

The fourth proportional to 424.14, 636.21 and 180.54 is: 270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.14 : 636.21 = 180.54 : x
  2. Step 2: Convert to fraction form
    424.14/636.21 = 180.54/x
  3. Step 3: Cross multiply
    424.14x = 636.21 × 180.54
  4. Step 4: Simplify right side
    424.14x = 114,861.35
  5. Step 5: Solve for x
    x = 114,861.35/424.14
  6. Step 6: Final answer
    x = 270.81

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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.