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Finding the Fourth Proportional to 273.28, 410.54 and 165.14

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Solution

The fourth proportional to 273.28, 410.54 and 165.14 is: 248.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.28 : 410.54 = 165.14 : x
  2. Step 2: Convert to fraction form
    273.28/410.54 = 165.14/x
  3. Step 3: Cross multiply
    273.28x = 410.54 × 165.14
  4. Step 4: Simplify right side
    273.28x = 67,796.58
  5. Step 5: Solve for x
    x = 67,796.58/273.28
  6. Step 6: Final answer
    x = 248.08

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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.