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Finding the Fourth Proportional to 199.40, 298.71 and 166.82

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Solution

The fourth proportional to 199.40, 298.71 and 166.82 is: 249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.40 : 298.71 = 166.82 : x
  2. Step 2: Convert to fraction form
    199.40/298.71 = 166.82/x
  3. Step 3: Cross multiply
    199.40x = 298.71 × 166.82
  4. Step 4: Simplify right side
    199.40x = 49,829.31
  5. Step 5: Solve for x
    x = 49,829.31/199.40
  6. Step 6: Final answer
    x = 249.90

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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.