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Finding the Fourth Proportional to 416.09, 624.21 and 142.36

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Solution

The fourth proportional to 416.09, 624.21 and 142.36 is: 213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.09 : 624.21 = 142.36 : x
  2. Step 2: Convert to fraction form
    416.09/624.21 = 142.36/x
  3. Step 3: Cross multiply
    416.09x = 624.21 × 142.36
  4. Step 4: Simplify right side
    416.09x = 88,860.44
  5. Step 5: Solve for x
    x = 88,860.44/416.09
  6. Step 6: Final answer
    x = 213.56

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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.