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Finding the Fourth Proportional to 273.36, 409.56 and 205.04

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Solution

The fourth proportional to 273.36, 409.56 and 205.04 is: 307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.36 : 409.56 = 205.04 : x
  2. Step 2: Convert to fraction form
    273.36/409.56 = 205.04/x
  3. Step 3: Cross multiply
    273.36x = 409.56 × 205.04
  4. Step 4: Simplify right side
    273.36x = 83,976.18
  5. Step 5: Solve for x
    x = 83,976.18/273.36
  6. Step 6: Final answer
    x = 307.20

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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.