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Finding the Fourth Proportional to 165.26, 246.72 and 164.12

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Solution

The fourth proportional to 165.26, 246.72 and 164.12 is: 245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.26 : 246.72 = 164.12 : x
  2. Step 2: Convert to fraction form
    165.26/246.72 = 164.12/x
  3. Step 3: Cross multiply
    165.26x = 246.72 × 164.12
  4. Step 4: Simplify right side
    165.26x = 40,491.69
  5. Step 5: Solve for x
    x = 40,491.69/165.26
  6. Step 6: Final answer
    x = 245.02

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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.