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Finding the Fourth Proportional to 416.77, 625.33 and 185.50

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Solution

The fourth proportional to 416.77, 625.33 and 185.50 is: 278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.77 : 625.33 = 185.50 : x
  2. Step 2: Convert to fraction form
    416.77/625.33 = 185.50/x
  3. Step 3: Cross multiply
    416.77x = 625.33 × 185.50
  4. Step 4: Simplify right side
    416.77x = 115,998.72
  5. Step 5: Solve for x
    x = 115,998.72/416.77
  6. Step 6: Final answer
    x = 278.33

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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.