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Finding the Fourth Proportional to 251.78, 347.43 and 141.23

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Solution

The fourth proportional to 251.78, 347.43 and 141.23 is: 194.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.78 : 347.43 = 141.23 : x
  2. Step 2: Convert to fraction form
    251.78/347.43 = 141.23/x
  3. Step 3: Cross multiply
    251.78x = 347.43 × 141.23
  4. Step 4: Simplify right side
    251.78x = 49,066.58
  5. Step 5: Solve for x
    x = 49,066.58/251.78
  6. Step 6: Final answer
    x = 194.88

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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.