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Finding the Fourth Proportional to 182.22, 272.59 and 109.10

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Solution

The fourth proportional to 182.22, 272.59 and 109.10 is: 163.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.22 : 272.59 = 109.10 : x
  2. Step 2: Convert to fraction form
    182.22/272.59 = 109.10/x
  3. Step 3: Cross multiply
    182.22x = 272.59 × 109.10
  4. Step 4: Simplify right side
    182.22x = 29,739.57
  5. Step 5: Solve for x
    x = 29,739.57/182.22
  6. Step 6: Final answer
    x = 163.21

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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.