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Finding the Fourth Proportional to 299.20, 412.76 and 216.17

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Solution

The fourth proportional to 299.20, 412.76 and 216.17 is: 298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.20 : 412.76 = 216.17 : x
  2. Step 2: Convert to fraction form
    299.20/412.76 = 216.17/x
  3. Step 3: Cross multiply
    299.20x = 412.76 × 216.17
  4. Step 4: Simplify right side
    299.20x = 89,226.69
  5. Step 5: Solve for x
    x = 89,226.69/299.20
  6. Step 6: Final answer
    x = 298.22

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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.