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Finding the Fourth Proportional to 165.38, 227.61 and 146.95

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Solution

The fourth proportional to 165.38, 227.61 and 146.95 is: 202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.38 : 227.61 = 146.95 : x
  2. Step 2: Convert to fraction form
    165.38/227.61 = 146.95/x
  3. Step 3: Cross multiply
    165.38x = 227.61 × 146.95
  4. Step 4: Simplify right side
    165.38x = 33,446.72
  5. Step 5: Solve for x
    x = 33,446.72/165.38
  6. Step 6: Final answer
    x = 202.25

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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.