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Finding the Fourth Proportional to 216.21, 324.76 and 178.23

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Solution

The fourth proportional to 216.21, 324.76 and 178.23 is: 267.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.21 : 324.76 = 178.23 : x
  2. Step 2: Convert to fraction form
    216.21/324.76 = 178.23/x
  3. Step 3: Cross multiply
    216.21x = 324.76 × 178.23
  4. Step 4: Simplify right side
    216.21x = 57,881.97
  5. Step 5: Solve for x
    x = 57,881.97/216.21
  6. Step 6: Final answer
    x = 267.71

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Why These Related Problems?

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