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Finding the Fourth Proportional to 273.80, 410.40 and 165.67

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Solution

The fourth proportional to 273.80, 410.40 and 165.67 is: 248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.80 : 410.40 = 165.67 : x
  2. Step 2: Convert to fraction form
    273.80/410.40 = 165.67/x
  3. Step 3: Cross multiply
    273.80x = 410.40 × 165.67
  4. Step 4: Simplify right side
    273.80x = 67,989.94
  5. Step 5: Solve for x
    x = 67,989.94/273.80
  6. Step 6: Final answer
    x = 248.32

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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.