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Finding the Fourth Proportional to 182.54, 271.95 and 182.18

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Solution

The fourth proportional to 182.54, 271.95 and 182.18 is: 271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.54 : 271.95 = 182.18 : x
  2. Step 2: Convert to fraction form
    182.54/271.95 = 182.18/x
  3. Step 3: Cross multiply
    182.54x = 271.95 × 182.18
  4. Step 4: Simplify right side
    182.54x = 49,542.94
  5. Step 5: Solve for x
    x = 49,542.94/182.54
  6. Step 6: Final answer
    x = 271.41

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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.