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Finding the Fourth Proportional to 165.73, 248.28 and 96.15

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Solution

The fourth proportional to 165.73, 248.28 and 96.15 is: 144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.73 : 248.28 = 96.15 : x
  2. Step 2: Convert to fraction form
    165.73/248.28 = 96.15/x
  3. Step 3: Cross multiply
    165.73x = 248.28 × 96.15
  4. Step 4: Simplify right side
    165.73x = 23,872.04
  5. Step 5: Solve for x
    x = 23,872.04/165.73
  6. Step 6: Final answer
    x = 144.04

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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.