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Finding the Fourth Proportional to 166.67, 229.91 and 154.94

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Solution

The fourth proportional to 166.67, 229.91 and 154.94 is: 213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.67 : 229.91 = 154.94 : x
  2. Step 2: Convert to fraction form
    166.67/229.91 = 154.94/x
  3. Step 3: Cross multiply
    166.67x = 229.91 × 154.94
  4. Step 4: Simplify right side
    166.67x = 35,623.22
  5. Step 5: Solve for x
    x = 35,623.22/166.67
  6. Step 6: Final answer
    x = 213.74

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