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Finding the Fourth Proportional to 343.60, 515.22 and 160.78

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Solution

The fourth proportional to 343.60, 515.22 and 160.78 is: 241.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.60 : 515.22 = 160.78 : x
  2. Step 2: Convert to fraction form
    343.60/515.22 = 160.78/x
  3. Step 3: Cross multiply
    343.60x = 515.22 × 160.78
  4. Step 4: Simplify right side
    343.60x = 82,837.07
  5. Step 5: Solve for x
    x = 82,837.07/343.60
  6. Step 6: Final answer
    x = 241.09

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