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Finding the Fourth Proportional to 216.18, 324.42 and 158.55

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Solution

The fourth proportional to 216.18, 324.42 and 158.55 is: 237.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.18 : 324.42 = 158.55 : x
  2. Step 2: Convert to fraction form
    216.18/324.42 = 158.55/x
  3. Step 3: Cross multiply
    216.18x = 324.42 × 158.55
  4. Step 4: Simplify right side
    216.18x = 51,436.78
  5. Step 5: Solve for x
    x = 51,436.78/216.18
  6. Step 6: Final answer
    x = 237.94

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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.