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Finding the Fourth Proportional to 199.54, 274.77 and 185.02

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Solution

The fourth proportional to 199.54, 274.77 and 185.02 is: 254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.54 : 274.77 = 185.02 : x
  2. Step 2: Convert to fraction form
    199.54/274.77 = 185.02/x
  3. Step 3: Cross multiply
    199.54x = 274.77 × 185.02
  4. Step 4: Simplify right side
    199.54x = 50,837.95
  5. Step 5: Solve for x
    x = 50,837.95/199.54
  6. Step 6: Final answer
    x = 254.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.