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Finding the Fourth Proportional to 150.19, 224.94 and 119.67

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Solution

The fourth proportional to 150.19, 224.94 and 119.67 is: 179.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.19 : 224.94 = 119.67 : x
  2. Step 2: Convert to fraction form
    150.19/224.94 = 119.67/x
  3. Step 3: Cross multiply
    150.19x = 224.94 × 119.67
  4. Step 4: Simplify right side
    150.19x = 26,918.57
  5. Step 5: Solve for x
    x = 26,918.57/150.19
  6. Step 6: Final answer
    x = 179.23

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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.