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Finding the Fourth Proportional to 273.42, 410.01 and 165.24

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Solution

The fourth proportional to 273.42, 410.01 and 165.24 is: 247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.42 : 410.01 = 165.24 : x
  2. Step 2: Convert to fraction form
    273.42/410.01 = 165.24/x
  3. Step 3: Cross multiply
    273.42x = 410.01 × 165.24
  4. Step 4: Simplify right side
    273.42x = 67,750.05
  5. Step 5: Solve for x
    x = 67,750.05/273.42
  6. Step 6: Final answer
    x = 247.79

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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.