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Finding the Fourth Proportional to 250.91, 346.26 and 140.42

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Solution

The fourth proportional to 250.91, 346.26 and 140.42 is: 193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.91 : 346.26 = 140.42 : x
  2. Step 2: Convert to fraction form
    250.91/346.26 = 140.42/x
  3. Step 3: Cross multiply
    250.91x = 346.26 × 140.42
  4. Step 4: Simplify right side
    250.91x = 48,621.83
  5. Step 5: Solve for x
    x = 48,621.83/250.91
  6. Step 6: Final answer
    x = 193.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.