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Finding the Fourth Proportional to 273.64, 409.82 and 165.22

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Solution

The fourth proportional to 273.64, 409.82 and 165.22 is: 247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.64 : 409.82 = 165.22 : x
  2. Step 2: Convert to fraction form
    273.64/409.82 = 165.22/x
  3. Step 3: Cross multiply
    273.64x = 409.82 × 165.22
  4. Step 4: Simplify right side
    273.64x = 67,710.46
  5. Step 5: Solve for x
    x = 67,710.46/273.64
  6. Step 6: Final answer
    x = 247.44

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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.