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Finding the Fourth Proportional to 199.29, 274.43 and 184.77

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Solution

The fourth proportional to 199.29, 274.43 and 184.77 is: 254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.29 : 274.43 = 184.77 : x
  2. Step 2: Convert to fraction form
    199.29/274.43 = 184.77/x
  3. Step 3: Cross multiply
    199.29x = 274.43 × 184.77
  4. Step 4: Simplify right side
    199.29x = 50,705.51
  5. Step 5: Solve for x
    x = 50,705.51/199.29
  6. Step 6: Final answer
    x = 254.43

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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.