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Finding the Fourth Proportional to 182.16, 272.82 and 109.86

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Solution

The fourth proportional to 182.16, 272.82 and 109.86 is: 164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.16 : 272.82 = 109.86 : x
  2. Step 2: Convert to fraction form
    182.16/272.82 = 109.86/x
  3. Step 3: Cross multiply
    182.16x = 272.82 × 109.86
  4. Step 4: Simplify right side
    182.16x = 29,972.01
  5. Step 5: Solve for x
    x = 29,972.01/182.16
  6. Step 6: Final answer
    x = 164.54

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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.