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Finding the Fourth Proportional to 343.70, 515.43 and 189.80

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Solution

The fourth proportional to 343.70, 515.43 and 189.80 is: 284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.70 : 515.43 = 189.80 : x
  2. Step 2: Convert to fraction form
    343.70/515.43 = 189.80/x
  3. Step 3: Cross multiply
    343.70x = 515.43 × 189.80
  4. Step 4: Simplify right side
    343.70x = 97,828.61
  5. Step 5: Solve for x
    x = 97,828.61/343.70
  6. Step 6: Final answer
    x = 284.63

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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.