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Finding the Fourth Proportional to 165.34, 227.64 and 143.38

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Solution

The fourth proportional to 165.34, 227.64 and 143.38 is: 197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.34 : 227.64 = 143.38 : x
  2. Step 2: Convert to fraction form
    165.34/227.64 = 143.38/x
  3. Step 3: Cross multiply
    165.34x = 227.64 × 143.38
  4. Step 4: Simplify right side
    165.34x = 32,639.02
  5. Step 5: Solve for x
    x = 32,639.02/165.34
  6. Step 6: Final answer
    x = 197.41

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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.