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Finding the Fourth Proportional to 299, 412.58 and 200.84

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Solution

The fourth proportional to 299, 412.58 and 200.84 is: 277.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299 : 412.58 = 200.84 : x
  2. Step 2: Convert to fraction form
    299/412.58 = 200.84/x
  3. Step 3: Cross multiply
    299x = 412.58 × 200.84
  4. Step 4: Simplify right side
    299x = 82,862.57
  5. Step 5: Solve for x
    x = 82,862.57/299
  6. Step 6: Final answer
    x = 277.13

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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.