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Finding the Fourth Proportional to 408.51, 612.77 and 119.95

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Solution

The fourth proportional to 408.51, 612.77 and 119.95 is: 179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.51 : 612.77 = 119.95 : x
  2. Step 2: Convert to fraction form
    408.51/612.77 = 119.95/x
  3. Step 3: Cross multiply
    408.51x = 612.77 × 119.95
  4. Step 4: Simplify right side
    408.51x = 73,499.63
  5. Step 5: Solve for x
    x = 73,499.63/408.51
  6. Step 6: Final answer
    x = 179.92

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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.