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Finding the Fourth Proportional to 299.19, 412.74 and 200.82

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Solution

The fourth proportional to 299.19, 412.74 and 200.82 is: 277.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.19 : 412.74 = 200.82 : x
  2. Step 2: Convert to fraction form
    299.19/412.74 = 200.82/x
  3. Step 3: Cross multiply
    299.19x = 412.74 × 200.82
  4. Step 4: Simplify right side
    299.19x = 82,886.45
  5. Step 5: Solve for x
    x = 82,886.45/299.19
  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.