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Finding the Fourth Proportional to 273.95, 411.64 and 205.91

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Solution

The fourth proportional to 273.95, 411.64 and 205.91 is: 309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.95 : 411.64 = 205.91 : x
  2. Step 2: Convert to fraction form
    273.95/411.64 = 205.91/x
  3. Step 3: Cross multiply
    273.95x = 411.64 × 205.91
  4. Step 4: Simplify right side
    273.95x = 84,761.31
  5. Step 5: Solve for x
    x = 84,761.31/273.95
  6. Step 6: Final answer
    x = 309.40

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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.