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Finding the Fourth Proportional to 165.44, 227.79 and 140.50

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Solution

The fourth proportional to 165.44, 227.79 and 140.50 is: 193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.44 : 227.79 = 140.50 : x
  2. Step 2: Convert to fraction form
    165.44/227.79 = 140.50/x
  3. Step 3: Cross multiply
    165.44x = 227.79 × 140.50
  4. Step 4: Simplify right side
    165.44x = 32,003.71
  5. Step 5: Solve for x
    x = 32,003.71/165.44
  6. Step 6: Final answer
    x = 193.44

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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.