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Finding the Fourth Proportional to 252.08, 347.82 and 141.54

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Solution

The fourth proportional to 252.08, 347.82 and 141.54 is: 195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.08 : 347.82 = 141.54 : x
  2. Step 2: Convert to fraction form
    252.08/347.82 = 141.54/x
  3. Step 3: Cross multiply
    252.08x = 347.82 × 141.54
  4. Step 4: Simplify right side
    252.08x = 49,230.44
  5. Step 5: Solve for x
    x = 49,230.44/252.08
  6. Step 6: Final answer
    x = 195.30

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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.