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Finding the Fourth Proportional to 165.39, 248.00 and 119.81

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Solution

The fourth proportional to 165.39, 248.00 and 119.81 is: 179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.39 : 248.00 = 119.81 : x
  2. Step 2: Convert to fraction form
    165.39/248.00 = 119.81/x
  3. Step 3: Cross multiply
    165.39x = 248.00 × 119.81
  4. Step 4: Simplify right side
    165.39x = 29,711.04
  5. Step 5: Solve for x
    x = 29,711.04/165.39
  6. Step 6: Final answer
    x = 179.64

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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.