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Finding the Fourth Proportional to 343.87, 515.81 and 112.78

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Solution

The fourth proportional to 343.87, 515.81 and 112.78 is: 169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.87 : 515.81 = 112.78 : x
  2. Step 2: Convert to fraction form
    343.87/515.81 = 112.78/x
  3. Step 3: Cross multiply
    343.87x = 515.81 × 112.78
  4. Step 4: Simplify right side
    343.87x = 58,172.49
  5. Step 5: Solve for x
    x = 58,172.49/343.87
  6. Step 6: Final answer
    x = 169.17

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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.