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Finding the Fourth Proportional to 165.42, 227.61 and 143.55

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Solution

The fourth proportional to 165.42, 227.61 and 143.55 is: 197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.42 : 227.61 = 143.55 : x
  2. Step 2: Convert to fraction form
    165.42/227.61 = 143.55/x
  3. Step 3: Cross multiply
    165.42x = 227.61 × 143.55
  4. Step 4: Simplify right side
    165.42x = 32,673.42
  5. Step 5: Solve for x
    x = 32,673.42/165.42
  6. Step 6: Final answer
    x = 197.52

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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.