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Finding the Fourth Proportional to 416.56, 624.44 and 142.52

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Solution

The fourth proportional to 416.56, 624.44 and 142.52 is: 213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.56 : 624.44 = 142.52 : x
  2. Step 2: Convert to fraction form
    416.56/624.44 = 142.52/x
  3. Step 3: Cross multiply
    416.56x = 624.44 × 142.52
  4. Step 4: Simplify right side
    416.56x = 88,995.19
  5. Step 5: Solve for x
    x = 88,995.19/416.56
  6. Step 6: Final answer
    x = 213.64

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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.