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Finding the Fourth Proportional to 165.03, 227.64 and 132.36

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Solution

The fourth proportional to 165.03, 227.64 and 132.36 is: 182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.03 : 227.64 = 132.36 : x
  2. Step 2: Convert to fraction form
    165.03/227.64 = 132.36/x
  3. Step 3: Cross multiply
    165.03x = 227.64 × 132.36
  4. Step 4: Simplify right side
    165.03x = 30,131.33
  5. Step 5: Solve for x
    x = 30,131.33/165.03
  6. Step 6: Final answer
    x = 182.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.