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Finding the Fourth Proportional to 184.78, 275.63 and 182.44

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Solution

The fourth proportional to 184.78, 275.63 and 182.44 is: 272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.78 : 275.63 = 182.44 : x
  2. Step 2: Convert to fraction form
    184.78/275.63 = 182.44/x
  3. Step 3: Cross multiply
    184.78x = 275.63 × 182.44
  4. Step 4: Simplify right side
    184.78x = 50,285.94
  5. Step 5: Solve for x
    x = 50,285.94/184.78
  6. Step 6: Final answer
    x = 272.14

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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.