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Finding the Fourth Proportional to 299.27, 412.94 and 174.87

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Solution

The fourth proportional to 299.27, 412.94 and 174.87 is: 241.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.27 : 412.94 = 174.87 : x
  2. Step 2: Convert to fraction form
    299.27/412.94 = 174.87/x
  3. Step 3: Cross multiply
    299.27x = 412.94 × 174.87
  4. Step 4: Simplify right side
    299.27x = 72,209.94
  5. Step 5: Solve for x
    x = 72,209.94/299.27
  6. Step 6: Final answer
    x = 241.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.