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Finding the Fourth Proportional to 165.26, 246.52 and 137.90

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Solution

The fourth proportional to 165.26, 246.52 and 137.90 is: 205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.26 : 246.52 = 137.90 : x
  2. Step 2: Convert to fraction form
    165.26/246.52 = 137.90/x
  3. Step 3: Cross multiply
    165.26x = 246.52 × 137.90
  4. Step 4: Simplify right side
    165.26x = 33,995.11
  5. Step 5: Solve for x
    x = 33,995.11/165.26
  6. Step 6: Final answer
    x = 205.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.