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Finding the Fourth Proportional to 165.42, 227.72 and 144.40

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Solution

The fourth proportional to 165.42, 227.72 and 144.40 is: 198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.42 : 227.72 = 144.40 : x
  2. Step 2: Convert to fraction form
    165.42/227.72 = 144.40/x
  3. Step 3: Cross multiply
    165.42x = 227.72 × 144.40
  4. Step 4: Simplify right side
    165.42x = 32,882.77
  5. Step 5: Solve for x
    x = 32,882.77/165.42
  6. Step 6: Final answer
    x = 198.78

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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.