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Finding the Fourth Proportional to 166.08, 249.09 and 50.51

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Solution

The fourth proportional to 166.08, 249.09 and 50.51 is: 75.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.08 : 249.09 = 50.51 : x
  2. Step 2: Convert to fraction form
    166.08/249.09 = 50.51/x
  3. Step 3: Cross multiply
    166.08x = 249.09 × 50.51
  4. Step 4: Simplify right side
    166.08x = 12,581.69
  5. Step 5: Solve for x
    x = 12,581.69/166.08
  6. Step 6: Final answer
    x = 75.76

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