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Finding the Fourth Proportional to 424.25, 636.38 and 120.25

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Solution

The fourth proportional to 424.25, 636.38 and 120.25 is: 180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.25 : 636.38 = 120.25 : x
  2. Step 2: Convert to fraction form
    424.25/636.38 = 120.25/x
  3. Step 3: Cross multiply
    424.25x = 636.38 × 120.25
  4. Step 4: Simplify right side
    424.25x = 76,524.09
  5. Step 5: Solve for x
    x = 76,524.09/424.25
  6. Step 6: Final answer
    x = 180.38

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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.