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Finding the Fourth Proportional to 199.44, 297.76 and 170.56

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Solution

The fourth proportional to 199.44, 297.76 and 170.56 is: 254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.44 : 297.76 = 170.56 : x
  2. Step 2: Convert to fraction form
    199.44/297.76 = 170.56/x
  3. Step 3: Cross multiply
    199.44x = 297.76 × 170.56
  4. Step 4: Simplify right side
    199.44x = 50,785.09
  5. Step 5: Solve for x
    x = 50,785.09/199.44
  6. Step 6: Final answer
    x = 254.64

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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.