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Finding the Fourth Proportional to 216.89, 325.72 and 199.50

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Solution

The fourth proportional to 216.89, 325.72 and 199.50 is: 299.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.89 : 325.72 = 199.50 : x
  2. Step 2: Convert to fraction form
    216.89/325.72 = 199.50/x
  3. Step 3: Cross multiply
    216.89x = 325.72 × 199.50
  4. Step 4: Simplify right side
    216.89x = 64,982.61
  5. Step 5: Solve for x
    x = 64,982.61/216.89
  6. Step 6: Final answer
    x = 299.62

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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.