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Finding the Fourth Proportional to 273.42, 409.48 and 151.38

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Solution

The fourth proportional to 273.42, 409.48 and 151.38 is: 226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.42 : 409.48 = 151.38 : x
  2. Step 2: Convert to fraction form
    273.42/409.48 = 151.38/x
  3. Step 3: Cross multiply
    273.42x = 409.48 × 151.38
  4. Step 4: Simplify right side
    273.42x = 61,987.41
  5. Step 5: Solve for x
    x = 61,987.41/273.42
  6. Step 6: Final answer
    x = 226.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.