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Finding the Fourth Proportional to 273.52, 410.25 and 165.07

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Solution

The fourth proportional to 273.52, 410.25 and 165.07 is: 247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.52 : 410.25 = 165.07 : x
  2. Step 2: Convert to fraction form
    273.52/410.25 = 165.07/x
  3. Step 3: Cross multiply
    273.52x = 410.25 × 165.07
  4. Step 4: Simplify right side
    273.52x = 67,719.97
  5. Step 5: Solve for x
    x = 67,719.97/273.52
  6. Step 6: Final answer
    x = 247.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.