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Finding the Fourth Proportional to 150, 224.84 and 104.36

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Solution

The fourth proportional to 150, 224.84 and 104.36 is: 156.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150 : 224.84 = 104.36 : x
  2. Step 2: Convert to fraction form
    150/224.84 = 104.36/x
  3. Step 3: Cross multiply
    150x = 224.84 × 104.36
  4. Step 4: Simplify right side
    150x = 23,464.30
  5. Step 5: Solve for x
    x = 23,464.30/150
  6. Step 6: Final answer
    x = 156.43

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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.