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Finding the Fourth Proportional to 216.43, 323.85 and 186.35

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Solution

The fourth proportional to 216.43, 323.85 and 186.35 is: 278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.43 : 323.85 = 186.35 : x
  2. Step 2: Convert to fraction form
    216.43/323.85 = 186.35/x
  3. Step 3: Cross multiply
    216.43x = 323.85 × 186.35
  4. Step 4: Simplify right side
    216.43x = 60,350.26
  5. Step 5: Solve for x
    x = 60,350.26/216.43
  6. Step 6: Final answer
    x = 278.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.