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Finding the Fourth Proportional to 166.86, 250.22 and 75.53

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Solution

The fourth proportional to 166.86, 250.22 and 75.53 is: 113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.86 : 250.22 = 75.53 : x
  2. Step 2: Convert to fraction form
    166.86/250.22 = 75.53/x
  3. Step 3: Cross multiply
    166.86x = 250.22 × 75.53
  4. Step 4: Simplify right side
    166.86x = 18,899.93
  5. Step 5: Solve for x
    x = 18,899.93/166.86
  6. Step 6: Final answer
    x = 113.27

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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.