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Finding the Fourth Proportional to 299.09, 412.77 and 174.76

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Solution

The fourth proportional to 299.09, 412.77 and 174.76 is: 241.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.09 : 412.77 = 174.76 : x
  2. Step 2: Convert to fraction form
    299.09/412.77 = 174.76/x
  3. Step 3: Cross multiply
    299.09x = 412.77 × 174.76
  4. Step 4: Simplify right side
    299.09x = 72,135.69
  5. Step 5: Solve for x
    x = 72,135.69/299.09
  6. Step 6: Final answer
    x = 241.18

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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.