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Finding the Fourth Proportional to 251.67, 347.27 and 141.14

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Solution

The fourth proportional to 251.67, 347.27 and 141.14 is: 194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.67 : 347.27 = 141.14 : x
  2. Step 2: Convert to fraction form
    251.67/347.27 = 141.14/x
  3. Step 3: Cross multiply
    251.67x = 347.27 × 141.14
  4. Step 4: Simplify right side
    251.67x = 49,013.69
  5. Step 5: Solve for x
    x = 49,013.69/251.67
  6. Step 6: Final answer
    x = 194.75

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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.