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Finding the Fourth Proportional to 251.19, 376.74 and 142.92

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Solution

The fourth proportional to 251.19, 376.74 and 142.92 is: 214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.19 : 376.74 = 142.92 : x
  2. Step 2: Convert to fraction form
    251.19/376.74 = 142.92/x
  3. Step 3: Cross multiply
    251.19x = 376.74 × 142.92
  4. Step 4: Simplify right side
    251.19x = 53,843.68
  5. Step 5: Solve for x
    x = 53,843.68/251.19
  6. Step 6: Final answer
    x = 214.35

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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.