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Finding the Fourth Proportional to 273.76, 410.50 and 165.40

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Solution

The fourth proportional to 273.76, 410.50 and 165.40 is: 248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.76 : 410.50 = 165.40 : x
  2. Step 2: Convert to fraction form
    273.76/410.50 = 165.40/x
  3. Step 3: Cross multiply
    273.76x = 410.50 × 165.40
  4. Step 4: Simplify right side
    273.76x = 67,896.70
  5. Step 5: Solve for x
    x = 67,896.70/273.76
  6. Step 6: Final answer
    x = 248.02

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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.