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Finding the Fourth Proportional to 273.84, 409.94 and 165.30

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Solution

The fourth proportional to 273.84, 409.94 and 165.30 is: 247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.84 : 409.94 = 165.30 : x
  2. Step 2: Convert to fraction form
    273.84/409.94 = 165.30/x
  3. Step 3: Cross multiply
    273.84x = 409.94 × 165.30
  4. Step 4: Simplify right side
    273.84x = 67,763.08
  5. Step 5: Solve for x
    x = 67,763.08/273.84
  6. Step 6: Final answer
    x = 247.46

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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.