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Finding the Fourth Proportional to 166.93, 250.43 and 105.98

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Solution

The fourth proportional to 166.93, 250.43 and 105.98 is: 158.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.93 : 250.43 = 105.98 : x
  2. Step 2: Convert to fraction form
    166.93/250.43 = 105.98/x
  3. Step 3: Cross multiply
    166.93x = 250.43 × 105.98
  4. Step 4: Simplify right side
    166.93x = 26,538.79
  5. Step 5: Solve for x
    x = 26,538.79/166.93
  6. Step 6: Final answer
    x = 158.98

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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.