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Finding the Fourth Proportional to 184.03, 255.74 and 181.74

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Solution

The fourth proportional to 184.03, 255.74 and 181.74 is: 252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.03 : 255.74 = 181.74 : x
  2. Step 2: Convert to fraction form
    184.03/255.74 = 181.74/x
  3. Step 3: Cross multiply
    184.03x = 255.74 × 181.74
  4. Step 4: Simplify right side
    184.03x = 46,478.19
  5. Step 5: Solve for x
    x = 46,478.19/184.03
  6. Step 6: Final answer
    x = 252.56

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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.