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Finding the Fourth Proportional to 273.24, 409.62 and 159

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Solution

The fourth proportional to 273.24, 409.62 and 159 is: 238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.24 : 409.62 = 159 : x
  2. Step 2: Convert to fraction form
    273.24/409.62 = 159/x
  3. Step 3: Cross multiply
    273.24x = 409.62 × 159
  4. Step 4: Simplify right side
    273.24x = 65,129.58
  5. Step 5: Solve for x
    x = 65,129.58/273.24
  6. Step 6: Final answer
    x = 238.36

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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.