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Finding the Fourth Proportional to 165.67, 248.49 and 96.30

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Solution

The fourth proportional to 165.67, 248.49 and 96.30 is: 144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.67 : 248.49 = 96.30 : x
  2. Step 2: Convert to fraction form
    165.67/248.49 = 96.30/x
  3. Step 3: Cross multiply
    165.67x = 248.49 × 96.30
  4. Step 4: Simplify right side
    165.67x = 23,928.48
  5. Step 5: Solve for x
    x = 23,928.48/165.67
  6. Step 6: Final answer
    x = 144.43

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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.