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Finding the Fourth Proportional to 275.20, 412.49 and 165.54

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Solution

The fourth proportional to 275.20, 412.49 and 165.54 is: 248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.20 : 412.49 = 165.54 : x
  2. Step 2: Convert to fraction form
    275.20/412.49 = 165.54/x
  3. Step 3: Cross multiply
    275.20x = 412.49 × 165.54
  4. Step 4: Simplify right side
    275.20x = 68,285.56
  5. Step 5: Solve for x
    x = 68,285.56/275.20
  6. Step 6: Final answer
    x = 248.13

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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.