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Finding the Fourth Proportional to 273.84, 411.46 and 206.00

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Solution

The fourth proportional to 273.84, 411.46 and 206.00 is: 309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.84 : 411.46 = 206.00 : x
  2. Step 2: Convert to fraction form
    273.84/411.46 = 206.00/x
  3. Step 3: Cross multiply
    273.84x = 411.46 × 206.00
  4. Step 4: Simplify right side
    273.84x = 84,760.89
  5. Step 5: Solve for x
    x = 84,760.89/273.84
  6. Step 6: Final answer
    x = 309.53

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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.