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Finding the Fourth Proportional to 199.43, 298.63 and 170.72

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Solution

The fourth proportional to 199.43, 298.63 and 170.72 is: 255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.43 : 298.63 = 170.72 : x
  2. Step 2: Convert to fraction form
    199.43/298.63 = 170.72/x
  3. Step 3: Cross multiply
    199.43x = 298.63 × 170.72
  4. Step 4: Simplify right side
    199.43x = 50,981.26
  5. Step 5: Solve for x
    x = 50,981.26/199.43
  6. Step 6: Final answer
    x = 255.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.