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Finding the Fourth Proportional to 273.55, 410.19 and 100.09

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Solution

The fourth proportional to 273.55, 410.19 and 100.09 is: 150.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.55 : 410.19 = 100.09 : x
  2. Step 2: Convert to fraction form
    273.55/410.19 = 100.09/x
  3. Step 3: Cross multiply
    273.55x = 410.19 × 100.09
  4. Step 4: Simplify right side
    273.55x = 41,055.92
  5. Step 5: Solve for x
    x = 41,055.92/273.55
  6. Step 6: Final answer
    x = 150.09

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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.