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Finding the Fourth Proportional to 216.67, 324.40 and 178.61

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Solution

The fourth proportional to 216.67, 324.40 and 178.61 is: 267.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.67 : 324.40 = 178.61 : x
  2. Step 2: Convert to fraction form
    216.67/324.40 = 178.61/x
  3. Step 3: Cross multiply
    216.67x = 324.40 × 178.61
  4. Step 4: Simplify right side
    216.67x = 57,938.57
  5. Step 5: Solve for x
    x = 57,938.57/216.67
  6. Step 6: Final answer
    x = 267.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.