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Finding the Fourth Proportional to 343.34, 515.09 and 189.19

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Solution

The fourth proportional to 343.34, 515.09 and 189.19 is: 283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.34 : 515.09 = 189.19 : x
  2. Step 2: Convert to fraction form
    343.34/515.09 = 189.19/x
  3. Step 3: Cross multiply
    343.34x = 515.09 × 189.19
  4. Step 4: Simplify right side
    343.34x = 97,449.88
  5. Step 5: Solve for x
    x = 97,449.88/343.34
  6. Step 6: Final answer
    x = 283.83

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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.