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Finding the Fourth Proportional to 182.26, 272.76 and 109.75

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Solution

The fourth proportional to 182.26, 272.76 and 109.75 is: 164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.26 : 272.76 = 109.75 : x
  2. Step 2: Convert to fraction form
    182.26/272.76 = 109.75/x
  3. Step 3: Cross multiply
    182.26x = 272.76 × 109.75
  4. Step 4: Simplify right side
    182.26x = 29,935.41
  5. Step 5: Solve for x
    x = 29,935.41/182.26
  6. Step 6: Final answer
    x = 164.25

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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.