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Finding the Fourth Proportional to 251.35, 376.41 and 174.09

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Solution

The fourth proportional to 251.35, 376.41 and 174.09 is: 260.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.35 : 376.41 = 174.09 : x
  2. Step 2: Convert to fraction form
    251.35/376.41 = 174.09/x
  3. Step 3: Cross multiply
    251.35x = 376.41 × 174.09
  4. Step 4: Simplify right side
    251.35x = 65,530.63
  5. Step 5: Solve for x
    x = 65,530.63/251.35
  6. Step 6: Final answer
    x = 260.72

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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.