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Finding the Fourth Proportional to 216.23, 323.54 and 167.63

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Solution

The fourth proportional to 216.23, 323.54 and 167.63 is: 250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.23 : 323.54 = 167.63 : x
  2. Step 2: Convert to fraction form
    216.23/323.54 = 167.63/x
  3. Step 3: Cross multiply
    216.23x = 323.54 × 167.63
  4. Step 4: Simplify right side
    216.23x = 54,234.17
  5. Step 5: Solve for x
    x = 54,234.17/216.23
  6. Step 6: Final answer
    x = 250.82

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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.