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Finding the Fourth Proportional to 181.89, 273.02 and 151.65

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Solution

The fourth proportional to 181.89, 273.02 and 151.65 is: 227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.89 : 273.02 = 151.65 : x
  2. Step 2: Convert to fraction form
    181.89/273.02 = 151.65/x
  3. Step 3: Cross multiply
    181.89x = 273.02 × 151.65
  4. Step 4: Simplify right side
    181.89x = 41,402.72
  5. Step 5: Solve for x
    x = 41,402.72/181.89
  6. Step 6: Final answer
    x = 227.63

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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.