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Finding the Fourth Proportional to 216.20, 323.90 and 158.45

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Solution

The fourth proportional to 216.20, 323.90 and 158.45 is: 237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.20 : 323.90 = 158.45 : x
  2. Step 2: Convert to fraction form
    216.20/323.90 = 158.45/x
  3. Step 3: Cross multiply
    216.20x = 323.90 × 158.45
  4. Step 4: Simplify right side
    216.20x = 51,321.96
  5. Step 5: Solve for x
    x = 51,321.96/216.20
  6. Step 6: Final answer
    x = 237.38

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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.