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Finding the Fourth Proportional to 250.78, 376.08 and 142.60

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Solution

The fourth proportional to 250.78, 376.08 and 142.60 is: 213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.78 : 376.08 = 142.60 : x
  2. Step 2: Convert to fraction form
    250.78/376.08 = 142.60/x
  3. Step 3: Cross multiply
    250.78x = 376.08 × 142.60
  4. Step 4: Simplify right side
    250.78x = 53,629.01
  5. Step 5: Solve for x
    x = 53,629.01/250.78
  6. Step 6: Final answer
    x = 213.85

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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.