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Finding the Fourth Proportional to 184.31, 255.94 and 182.28

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Solution

The fourth proportional to 184.31, 255.94 and 182.28 is: 253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.31 : 255.94 = 182.28 : x
  2. Step 2: Convert to fraction form
    184.31/255.94 = 182.28/x
  3. Step 3: Cross multiply
    184.31x = 255.94 × 182.28
  4. Step 4: Simplify right side
    184.31x = 46,652.74
  5. Step 5: Solve for x
    x = 46,652.74/184.31
  6. Step 6: Final answer
    x = 253.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.