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Finding the Fourth Proportional to 166.54, 249.80 and 75.19

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Solution

The fourth proportional to 166.54, 249.80 and 75.19 is: 112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.54 : 249.80 = 75.19 : x
  2. Step 2: Convert to fraction form
    166.54/249.80 = 75.19/x
  3. Step 3: Cross multiply
    166.54x = 249.80 × 75.19
  4. Step 4: Simplify right side
    166.54x = 18,782.46
  5. Step 5: Solve for x
    x = 18,782.46/166.54
  6. Step 6: Final answer
    x = 112.78

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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.