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Finding the Fourth Proportional to 182.39, 271.91 and 161.74

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Solution

The fourth proportional to 182.39, 271.91 and 161.74 is: 241.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.39 : 271.91 = 161.74 : x
  2. Step 2: Convert to fraction form
    182.39/271.91 = 161.74/x
  3. Step 3: Cross multiply
    182.39x = 271.91 × 161.74
  4. Step 4: Simplify right side
    182.39x = 43,978.45
  5. Step 5: Solve for x
    x = 43,978.45/182.39
  6. Step 6: Final answer
    x = 241.12

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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.