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Finding the Fourth Proportional to 273.58, 409.14 and 205.16

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Solution

The fourth proportional to 273.58, 409.14 and 205.16 is: 306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.58 : 409.14 = 205.16 : x
  2. Step 2: Convert to fraction form
    273.58/409.14 = 205.16/x
  3. Step 3: Cross multiply
    273.58x = 409.14 × 205.16
  4. Step 4: Simplify right side
    273.58x = 83,939.16
  5. Step 5: Solve for x
    x = 83,939.16/273.58
  6. Step 6: Final answer
    x = 306.82

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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.