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Finding the Fourth Proportional to 251.28, 376.71 and 178.14

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Solution

The fourth proportional to 251.28, 376.71 and 178.14 is: 267.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.28 : 376.71 = 178.14 : x
  2. Step 2: Convert to fraction form
    251.28/376.71 = 178.14/x
  3. Step 3: Cross multiply
    251.28x = 376.71 × 178.14
  4. Step 4: Simplify right side
    251.28x = 67,107.12
  5. Step 5: Solve for x
    x = 67,107.12/251.28
  6. Step 6: Final answer
    x = 267.06

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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.