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Finding the Fourth Proportional to 343.85, 515.78 and 161.12

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Solution

The fourth proportional to 343.85, 515.78 and 161.12 is: 241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.85 : 515.78 = 161.12 : x
  2. Step 2: Convert to fraction form
    343.85/515.78 = 161.12/x
  3. Step 3: Cross multiply
    343.85x = 515.78 × 161.12
  4. Step 4: Simplify right side
    343.85x = 83,101.63
  5. Step 5: Solve for x
    x = 83,101.63/343.85
  6. Step 6: Final answer
    x = 241.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.