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Finding the Fourth Proportional to 273.09, 409.42 and 164.85

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Solution

The fourth proportional to 273.09, 409.42 and 164.85 is: 247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.09 : 409.42 = 164.85 : x
  2. Step 2: Convert to fraction form
    273.09/409.42 = 164.85/x
  3. Step 3: Cross multiply
    273.09x = 409.42 × 164.85
  4. Step 4: Simplify right side
    273.09x = 67,492.89
  5. Step 5: Solve for x
    x = 67,492.89/273.09
  6. Step 6: Final answer
    x = 247.15

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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.