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Finding the Fourth Proportional to 166.79, 250.31 and 75.56

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Solution

The fourth proportional to 166.79, 250.31 and 75.56 is: 113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.79 : 250.31 = 75.56 : x
  2. Step 2: Convert to fraction form
    166.79/250.31 = 75.56/x
  3. Step 3: Cross multiply
    166.79x = 250.31 × 75.56
  4. Step 4: Simplify right side
    166.79x = 18,911.79
  5. Step 5: Solve for x
    x = 18,911.79/166.79
  6. Step 6: Final answer
    x = 113.39

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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.