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Finding the Fourth Proportional to 216.99, 299.70 and 199.44

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Solution

The fourth proportional to 216.99, 299.70 and 199.44 is: 275.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.99 : 299.70 = 199.44 : x
  2. Step 2: Convert to fraction form
    216.99/299.70 = 199.44/x
  3. Step 3: Cross multiply
    216.99x = 299.70 × 199.44
  4. Step 4: Simplify right side
    216.99x = 59,772.17
  5. Step 5: Solve for x
    x = 59,772.17/216.99
  6. Step 6: Final answer
    x = 275.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.