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Finding the Fourth Proportional to 150.19, 224.84 and 92.23

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Solution

The fourth proportional to 150.19, 224.84 and 92.23 is: 138.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.19 : 224.84 = 92.23 : x
  2. Step 2: Convert to fraction form
    150.19/224.84 = 92.23/x
  3. Step 3: Cross multiply
    150.19x = 224.84 × 92.23
  4. Step 4: Simplify right side
    150.19x = 20,735.96
  5. Step 5: Solve for x
    x = 20,735.96/150.19
  6. Step 6: Final answer
    x = 138.06

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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.