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Finding the Fourth Proportional to 251.21, 376.88 and 107.03

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Solution

The fourth proportional to 251.21, 376.88 and 107.03 is: 160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.21 : 376.88 = 107.03 : x
  2. Step 2: Convert to fraction form
    251.21/376.88 = 107.03/x
  3. Step 3: Cross multiply
    251.21x = 376.88 × 107.03
  4. Step 4: Simplify right side
    251.21x = 40,336.93
  5. Step 5: Solve for x
    x = 40,336.93/251.21
  6. Step 6: Final answer
    x = 160.57

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Why These Related Problems?

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