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Finding the Fourth Proportional to 150.16, 224.94 and 92.26

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Solution

The fourth proportional to 150.16, 224.94 and 92.26 is: 138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.16 : 224.94 = 92.26 : x
  2. Step 2: Convert to fraction form
    150.16/224.94 = 92.26/x
  3. Step 3: Cross multiply
    150.16x = 224.94 × 92.26
  4. Step 4: Simplify right side
    150.16x = 20,752.96
  5. Step 5: Solve for x
    x = 20,752.96/150.16
  6. Step 6: Final answer
    x = 138.21

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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.