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Finding the Fourth Proportional to 165.25, 247.68 and 119.35

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Solution

The fourth proportional to 165.25, 247.68 and 119.35 is: 178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.25 : 247.68 = 119.35 : x
  2. Step 2: Convert to fraction form
    165.25/247.68 = 119.35/x
  3. Step 3: Cross multiply
    165.25x = 247.68 × 119.35
  4. Step 4: Simplify right side
    165.25x = 29,560.61
  5. Step 5: Solve for x
    x = 29,560.61/165.25
  6. Step 6: Final answer
    x = 178.88

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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.