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Finding the Fourth Proportional to 182.03, 272.28 and 161.36

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Solution

The fourth proportional to 182.03, 272.28 and 161.36 is: 241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.03 : 272.28 = 161.36 : x
  2. Step 2: Convert to fraction form
    182.03/272.28 = 161.36/x
  3. Step 3: Cross multiply
    182.03x = 272.28 × 161.36
  4. Step 4: Simplify right side
    182.03x = 43,935.10
  5. Step 5: Solve for x
    x = 43,935.10/182.03
  6. Step 6: Final answer
    x = 241.36

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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.