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Finding the Fourth Proportional to 199.36, 274.56 and 184.24

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Solution

The fourth proportional to 199.36, 274.56 and 184.24 is: 253.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.36 : 274.56 = 184.24 : x
  2. Step 2: Convert to fraction form
    199.36/274.56 = 184.24/x
  3. Step 3: Cross multiply
    199.36x = 274.56 × 184.24
  4. Step 4: Simplify right side
    199.36x = 50,584.93
  5. Step 5: Solve for x
    x = 50,584.93/199.36
  6. Step 6: Final answer
    x = 253.74

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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.