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Finding the Fourth Proportional to 344.58, 475.52 and 189.33

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Solution

The fourth proportional to 344.58, 475.52 and 189.33 is: 261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.58 : 475.52 = 189.33 : x
  2. Step 2: Convert to fraction form
    344.58/475.52 = 189.33/x
  3. Step 3: Cross multiply
    344.58x = 475.52 × 189.33
  4. Step 4: Simplify right side
    344.58x = 90,029.25
  5. Step 5: Solve for x
    x = 90,029.25/344.58
  6. Step 6: Final answer
    x = 261.27

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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.