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Finding the Fourth Proportional to 150.12, 225.18 and 119.75

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Solution

The fourth proportional to 150.12, 225.18 and 119.75 is: 179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.12 : 225.18 = 119.75 : x
  2. Step 2: Convert to fraction form
    150.12/225.18 = 119.75/x
  3. Step 3: Cross multiply
    150.12x = 225.18 × 119.75
  4. Step 4: Simplify right side
    150.12x = 26,964.18
  5. Step 5: Solve for x
    x = 26,964.18/150.12
  6. Step 6: Final answer
    x = 179.62

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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.