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Finding the Fourth Proportional to 273.75, 410.01 and 208.64

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Solution

The fourth proportional to 273.75, 410.01 and 208.64 is: 312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.75 : 410.01 = 208.64 : x
  2. Step 2: Convert to fraction form
    273.75/410.01 = 208.64/x
  3. Step 3: Cross multiply
    273.75x = 410.01 × 208.64
  4. Step 4: Simplify right side
    273.75x = 85,542.44
  5. Step 5: Solve for x
    x = 85,542.44/273.75
  6. Step 6: Final answer
    x = 312.48

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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.