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Finding the Fourth Proportional to 299.01, 412.78 and 199.59

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Solution

The fourth proportional to 299.01, 412.78 and 199.59 is: 275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.01 : 412.78 = 199.59 : x
  2. Step 2: Convert to fraction form
    299.01/412.78 = 199.59/x
  3. Step 3: Cross multiply
    299.01x = 412.78 × 199.59
  4. Step 4: Simplify right side
    299.01x = 82,385.76
  5. Step 5: Solve for x
    x = 82,385.76/299.01
  6. Step 6: Final answer
    x = 275.53

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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.