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Finding the Fourth Proportional to 273.54, 409.35 and 170.88

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Solution

The fourth proportional to 273.54, 409.35 and 170.88 is: 255.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.54 : 409.35 = 170.88 : x
  2. Step 2: Convert to fraction form
    273.54/409.35 = 170.88/x
  3. Step 3: Cross multiply
    273.54x = 409.35 × 170.88
  4. Step 4: Simplify right side
    273.54x = 69,949.73
  5. Step 5: Solve for x
    x = 69,949.73/273.54
  6. Step 6: Final answer
    x = 255.72

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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.