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Finding the Fourth Proportional to 299.28, 412.80 and 206.16

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Solution

The fourth proportional to 299.28, 412.80 and 206.16 is: 284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.28 : 412.80 = 206.16 : x
  2. Step 2: Convert to fraction form
    299.28/412.80 = 206.16/x
  3. Step 3: Cross multiply
    299.28x = 412.80 × 206.16
  4. Step 4: Simplify right side
    299.28x = 85,102.85
  5. Step 5: Solve for x
    x = 85,102.85/299.28
  6. Step 6: Final answer
    x = 284.36

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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.