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Finding the Fourth Proportional to 344.68, 475.65 and 189.43

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Solution

The fourth proportional to 344.68, 475.65 and 189.43 is: 261.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.68 : 475.65 = 189.43 : x
  2. Step 2: Convert to fraction form
    344.68/475.65 = 189.43/x
  3. Step 3: Cross multiply
    344.68x = 475.65 × 189.43
  4. Step 4: Simplify right side
    344.68x = 90,101.19
  5. Step 5: Solve for x
    x = 90,101.19/344.68
  6. Step 6: Final answer
    x = 261.41

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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.