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Finding the Fourth Proportional to 273.94, 410.36 and 165.94

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Solution

The fourth proportional to 273.94, 410.36 and 165.94 is: 248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.94 : 410.36 = 165.94 : x
  2. Step 2: Convert to fraction form
    273.94/410.36 = 165.94/x
  3. Step 3: Cross multiply
    273.94x = 410.36 × 165.94
  4. Step 4: Simplify right side
    273.94x = 68,095.14
  5. Step 5: Solve for x
    x = 68,095.14/273.94
  6. Step 6: Final answer
    x = 248.58

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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.