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Finding the Fourth Proportional to 166.20, 247.67 and 151.80

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Solution

The fourth proportional to 166.20, 247.67 and 151.80 is: 226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.20 : 247.67 = 151.80 : x
  2. Step 2: Convert to fraction form
    166.20/247.67 = 151.80/x
  3. Step 3: Cross multiply
    166.20x = 247.67 × 151.80
  4. Step 4: Simplify right side
    166.20x = 37,596.31
  5. Step 5: Solve for x
    x = 37,596.31/166.20
  6. Step 6: Final answer
    x = 226.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.