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Finding the Fourth Proportional to 144.50, 199.60 and 120.22

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Solution

The fourth proportional to 144.50, 199.60 and 120.22 is: 166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.50 : 199.60 = 120.22 : x
  2. Step 2: Convert to fraction form
    144.50/199.60 = 120.22/x
  3. Step 3: Cross multiply
    144.50x = 199.60 × 120.22
  4. Step 4: Simplify right side
    144.50x = 23,995.91
  5. Step 5: Solve for x
    x = 23,995.91/144.50
  6. Step 6: Final answer
    x = 166.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.