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Finding the Fourth Proportional to 416.73, 625.25 and 185.78

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Solution

The fourth proportional to 416.73, 625.25 and 185.78 is: 278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.73 : 625.25 = 185.78 : x
  2. Step 2: Convert to fraction form
    416.73/625.25 = 185.78/x
  3. Step 3: Cross multiply
    416.73x = 625.25 × 185.78
  4. Step 4: Simplify right side
    416.73x = 116,159.58
  5. Step 5: Solve for x
    x = 116,159.58/416.73
  6. Step 6: Final answer
    x = 278.74

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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.