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Finding the Fourth Proportional to 150.26, 225.38 and 120.22

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Solution

The fourth proportional to 150.26, 225.38 and 120.22 is: 180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.26 : 225.38 = 120.22 : x
  2. Step 2: Convert to fraction form
    150.26/225.38 = 120.22/x
  3. Step 3: Cross multiply
    150.26x = 225.38 × 120.22
  4. Step 4: Simplify right side
    150.26x = 27,094.92
  5. Step 5: Solve for x
    x = 27,094.92/150.26
  6. Step 6: Final answer
    x = 180.33

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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.