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Finding the Fourth Proportional to 166.66, 251.26 and 157.84

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Solution

The fourth proportional to 166.66, 251.26 and 157.84 is: 237.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.66 : 251.26 = 157.84 : x
  2. Step 2: Convert to fraction form
    166.66/251.26 = 157.84/x
  3. Step 3: Cross multiply
    166.66x = 251.26 × 157.84
  4. Step 4: Simplify right side
    166.66x = 39,658.88
  5. Step 5: Solve for x
    x = 39,658.88/166.66
  6. Step 6: Final answer
    x = 237.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.