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Finding the Fourth Proportional to 273.07, 409.19 and 150.96

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Solution

The fourth proportional to 273.07, 409.19 and 150.96 is: 226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.07 : 409.19 = 150.96 : x
  2. Step 2: Convert to fraction form
    273.07/409.19 = 150.96/x
  3. Step 3: Cross multiply
    273.07x = 409.19 × 150.96
  4. Step 4: Simplify right side
    273.07x = 61,771.32
  5. Step 5: Solve for x
    x = 61,771.32/273.07
  6. Step 6: Final answer
    x = 226.21

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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.