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Finding the Fourth Proportional to 393.68, 590.63 and 119.78

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Solution

The fourth proportional to 393.68, 590.63 and 119.78 is: 179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.68 : 590.63 = 119.78 : x
  2. Step 2: Convert to fraction form
    393.68/590.63 = 119.78/x
  3. Step 3: Cross multiply
    393.68x = 590.63 × 119.78
  4. Step 4: Simplify right side
    393.68x = 70,745.66
  5. Step 5: Solve for x
    x = 70,745.66/393.68
  6. Step 6: Final answer
    x = 179.70

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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.