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Finding the Fourth Proportional to 181.95, 273.03 and 100.78

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Solution

The fourth proportional to 181.95, 273.03 and 100.78 is: 151.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.95 : 273.03 = 100.78 : x
  2. Step 2: Convert to fraction form
    181.95/273.03 = 100.78/x
  3. Step 3: Cross multiply
    181.95x = 273.03 × 100.78
  4. Step 4: Simplify right side
    181.95x = 27,515.93
  5. Step 5: Solve for x
    x = 27,515.93/181.95
  6. Step 6: Final answer
    x = 151.23

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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.