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Finding the Fourth Proportional to 166.75, 229.83 and 153.67

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Solution

The fourth proportional to 166.75, 229.83 and 153.67 is: 211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.75 : 229.83 = 153.67 : x
  2. Step 2: Convert to fraction form
    166.75/229.83 = 153.67/x
  3. Step 3: Cross multiply
    166.75x = 229.83 × 153.67
  4. Step 4: Simplify right side
    166.75x = 35,317.98
  5. Step 5: Solve for x
    x = 35,317.98/166.75
  6. Step 6: Final answer
    x = 211.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.