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Finding the Fourth Proportional to 165.60, 227.40 and 132.60

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Solution

The fourth proportional to 165.60, 227.40 and 132.60 is: 182.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.60 : 227.40 = 132.60 : x
  2. Step 2: Convert to fraction form
    165.60/227.40 = 132.60/x
  3. Step 3: Cross multiply
    165.60x = 227.40 × 132.60
  4. Step 4: Simplify right side
    165.60x = 30,153.24
  5. Step 5: Solve for x
    x = 30,153.24/165.60
  6. Step 6: Final answer
    x = 182.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.