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Finding the Fourth Proportional to 216.12, 323.95 and 185.59

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Solution

The fourth proportional to 216.12, 323.95 and 185.59 is: 278.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.12 : 323.95 = 185.59 : x
  2. Step 2: Convert to fraction form
    216.12/323.95 = 185.59/x
  3. Step 3: Cross multiply
    216.12x = 323.95 × 185.59
  4. Step 4: Simplify right side
    216.12x = 60,121.88
  5. Step 5: Solve for x
    x = 60,121.88/216.12
  6. Step 6: Final answer
    x = 278.19

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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.