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Finding the Fourth Proportional to 299.21, 412.92 and 174.98

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Solution

The fourth proportional to 299.21, 412.92 and 174.98 is: 241.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.21 : 412.92 = 174.98 : x
  2. Step 2: Convert to fraction form
    299.21/412.92 = 174.98/x
  3. Step 3: Cross multiply
    299.21x = 412.92 × 174.98
  4. Step 4: Simplify right side
    299.21x = 72,251.71
  5. Step 5: Solve for x
    x = 72,251.71/299.21
  6. Step 6: Final answer
    x = 241.47

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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.