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Finding the Fourth Proportional to 252.10, 347.85 and 141.57

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Solution

The fourth proportional to 252.10, 347.85 and 141.57 is: 195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.10 : 347.85 = 141.57 : x
  2. Step 2: Convert to fraction form
    252.10/347.85 = 141.57/x
  3. Step 3: Cross multiply
    252.10x = 347.85 × 141.57
  4. Step 4: Simplify right side
    252.10x = 49,245.12
  5. Step 5: Solve for x
    x = 49,245.12/252.10
  6. Step 6: Final answer
    x = 195.34

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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.