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Finding the Fourth Proportional to 216.20, 323.97 and 158.15

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Solution

The fourth proportional to 216.20, 323.97 and 158.15 is: 236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.20 : 323.97 = 158.15 : x
  2. Step 2: Convert to fraction form
    216.20/323.97 = 158.15/x
  3. Step 3: Cross multiply
    216.20x = 323.97 × 158.15
  4. Step 4: Simplify right side
    216.20x = 51,236.07
  5. Step 5: Solve for x
    x = 51,236.07/216.20
  6. Step 6: Final answer
    x = 236.98

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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.