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Finding the Fourth Proportional to 184.74, 274.88 and 184.12

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Solution

The fourth proportional to 184.74, 274.88 and 184.12 is: 273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.74 : 274.88 = 184.12 : x
  2. Step 2: Convert to fraction form
    184.74/274.88 = 184.12/x
  3. Step 3: Cross multiply
    184.74x = 274.88 × 184.12
  4. Step 4: Simplify right side
    184.74x = 50,610.91
  5. Step 5: Solve for x
    x = 50,610.91/184.74
  6. Step 6: Final answer
    x = 273.96

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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.