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Finding the Fourth Proportional to 164.10, 246.39 and 109.26

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Solution

The fourth proportional to 164.10, 246.39 and 109.26 is: 164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.10 : 246.39 = 109.26 : x
  2. Step 2: Convert to fraction form
    164.10/246.39 = 109.26/x
  3. Step 3: Cross multiply
    164.10x = 246.39 × 109.26
  4. Step 4: Simplify right side
    164.10x = 26,920.57
  5. Step 5: Solve for x
    x = 26,920.57/164.10
  6. Step 6: Final answer
    x = 164.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.