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Finding the Fourth Proportional to 273.07, 409.46 and 142.75

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Solution

The fourth proportional to 273.07, 409.46 and 142.75 is: 214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.07 : 409.46 = 142.75 : x
  2. Step 2: Convert to fraction form
    273.07/409.46 = 142.75/x
  3. Step 3: Cross multiply
    273.07x = 409.46 × 142.75
  4. Step 4: Simplify right side
    273.07x = 58,450.21
  5. Step 5: Solve for x
    x = 58,450.21/273.07
  6. Step 6: Final answer
    x = 214.05

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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.