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Finding the Fourth Proportional to 299.40, 412.14 and 216.42

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Solution

The fourth proportional to 299.40, 412.14 and 216.42 is: 297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.40 : 412.14 = 216.42 : x
  2. Step 2: Convert to fraction form
    299.40/412.14 = 216.42/x
  3. Step 3: Cross multiply
    299.40x = 412.14 × 216.42
  4. Step 4: Simplify right side
    299.40x = 89,195.34
  5. Step 5: Solve for x
    x = 89,195.34/299.40
  6. Step 6: Final answer
    x = 297.91

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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.