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Finding the Fourth Proportional to 273.14, 409.78 and 90.56

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Solution

The fourth proportional to 273.14, 409.78 and 90.56 is: 135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.14 : 409.78 = 90.56 : x
  2. Step 2: Convert to fraction form
    273.14/409.78 = 90.56/x
  3. Step 3: Cross multiply
    273.14x = 409.78 × 90.56
  4. Step 4: Simplify right side
    273.14x = 37,109.68
  5. Step 5: Solve for x
    x = 37,109.68/273.14
  6. Step 6: Final answer
    x = 135.86

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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.