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Finding the Fourth Proportional to 344.35, 475.22 and 189.10

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Solution

The fourth proportional to 344.35, 475.22 and 189.10 is: 260.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.35 : 475.22 = 189.10 : x
  2. Step 2: Convert to fraction form
    344.35/475.22 = 189.10/x
  3. Step 3: Cross multiply
    344.35x = 475.22 × 189.10
  4. Step 4: Simplify right side
    344.35x = 89,861.97
  5. Step 5: Solve for x
    x = 89,861.97/344.35
  6. Step 6: Final answer
    x = 260.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.