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Finding the Fourth Proportional to 273.01, 409.69 and 110.70

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Solution

The fourth proportional to 273.01, 409.69 and 110.70 is: 166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.01 : 409.69 = 110.70 : x
  2. Step 2: Convert to fraction form
    273.01/409.69 = 110.70/x
  3. Step 3: Cross multiply
    273.01x = 409.69 × 110.70
  4. Step 4: Simplify right side
    273.01x = 45,351.38
  5. Step 5: Solve for x
    x = 45,351.38/273.01
  6. Step 6: Final answer
    x = 166.11

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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.