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Finding the Fourth Proportional to 273.06, 409.58 and 164.82

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Solution

The fourth proportional to 273.06, 409.58 and 164.82 is: 247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.06 : 409.58 = 164.82 : x
  2. Step 2: Convert to fraction form
    273.06/409.58 = 164.82/x
  3. Step 3: Cross multiply
    273.06x = 409.58 × 164.82
  4. Step 4: Simplify right side
    273.06x = 67,506.15
  5. Step 5: Solve for x
    x = 67,506.15/273.06
  6. Step 6: Final answer
    x = 247.22

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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.