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Finding the Fourth Proportional to 416.98, 625.26 and 142.97

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Solution

The fourth proportional to 416.98, 625.26 and 142.97 is: 214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.98 : 625.26 = 142.97 : x
  2. Step 2: Convert to fraction form
    416.98/625.26 = 142.97/x
  3. Step 3: Cross multiply
    416.98x = 625.26 × 142.97
  4. Step 4: Simplify right side
    416.98x = 89,393.42
  5. Step 5: Solve for x
    x = 89,393.42/416.98
  6. Step 6: Final answer
    x = 214.38

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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.