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Finding the Fourth Proportional to 185.49, 276.08 and 184.01

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Solution

The fourth proportional to 185.49, 276.08 and 184.01 is: 273.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.49 : 276.08 = 184.01 : x
  2. Step 2: Convert to fraction form
    185.49/276.08 = 184.01/x
  3. Step 3: Cross multiply
    185.49x = 276.08 × 184.01
  4. Step 4: Simplify right side
    185.49x = 50,799.18
  5. Step 5: Solve for x
    x = 50,799.18/185.49
  6. Step 6: Final answer
    x = 273.86

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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.