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Finding the Fourth Proportional to 185.16, 274.28 and 184.84

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Solution

The fourth proportional to 185.16, 274.28 and 184.84 is: 273.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.16 : 274.28 = 184.84 : x
  2. Step 2: Convert to fraction form
    185.16/274.28 = 184.84/x
  3. Step 3: Cross multiply
    185.16x = 274.28 × 184.84
  4. Step 4: Simplify right side
    185.16x = 50,697.92
  5. Step 5: Solve for x
    x = 50,697.92/185.16
  6. Step 6: Final answer
    x = 273.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.