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Finding the Fourth Proportional to 273.93, 410.78 and 100.54

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Solution

The fourth proportional to 273.93, 410.78 and 100.54 is: 150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.93 : 410.78 = 100.54 : x
  2. Step 2: Convert to fraction form
    273.93/410.78 = 100.54/x
  3. Step 3: Cross multiply
    273.93x = 410.78 × 100.54
  4. Step 4: Simplify right side
    273.93x = 41,299.82
  5. Step 5: Solve for x
    x = 41,299.82/273.93
  6. Step 6: Final answer
    x = 150.77

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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.