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Finding the Fourth Proportional to 299.24, 412.82 and 200.82

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Solution

The fourth proportional to 299.24, 412.82 and 200.82 is: 277.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.24 : 412.82 = 200.82 : x
  2. Step 2: Convert to fraction form
    299.24/412.82 = 200.82/x
  3. Step 3: Cross multiply
    299.24x = 412.82 × 200.82
  4. Step 4: Simplify right side
    299.24x = 82,901.51
  5. Step 5: Solve for x
    x = 82,901.51/299.24
  6. Step 6: Final answer
    x = 277.04

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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.