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Finding the Fourth Proportional to 299.21, 412.83 and 174.87

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Solution

The fourth proportional to 299.21, 412.83 and 174.87 is: 241.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.21 : 412.83 = 174.87 : x
  2. Step 2: Convert to fraction form
    299.21/412.83 = 174.87/x
  3. Step 3: Cross multiply
    299.21x = 412.83 × 174.87
  4. Step 4: Simplify right side
    299.21x = 72,191.58
  5. Step 5: Solve for x
    x = 72,191.58/299.21
  6. Step 6: Final answer
    x = 241.28

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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.