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Finding the Fourth Proportional to 444.26, 666.46 and 119.64

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Solution

The fourth proportional to 444.26, 666.46 and 119.64 is: 179.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.26 : 666.46 = 119.64 : x
  2. Step 2: Convert to fraction form
    444.26/666.46 = 119.64/x
  3. Step 3: Cross multiply
    444.26x = 666.46 × 119.64
  4. Step 4: Simplify right side
    444.26x = 79,735.27
  5. Step 5: Solve for x
    x = 79,735.27/444.26
  6. Step 6: Final answer
    x = 179.48

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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.