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Finding the Fourth Proportional to 238.71, 357.56 and 141.11

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Solution

The fourth proportional to 238.71, 357.56 and 141.11 is: 211.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.71 : 357.56 = 141.11 : x
  2. Step 2: Convert to fraction form
    238.71/357.56 = 141.11/x
  3. Step 3: Cross multiply
    238.71x = 357.56 × 141.11
  4. Step 4: Simplify right side
    238.71x = 50,452.80
  5. Step 5: Solve for x
    x = 50,452.80/238.71
  6. Step 6: Final answer
    x = 211.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.