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Finding the Fourth Proportional to 250.07, 375.75 and 213.73

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Solution

The fourth proportional to 250.07, 375.75 and 213.73 is: 321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.07 : 375.75 = 213.73 : x
  2. Step 2: Convert to fraction form
    250.07/375.75 = 213.73/x
  3. Step 3: Cross multiply
    250.07x = 375.75 × 213.73
  4. Step 4: Simplify right side
    250.07x = 80,308.11
  5. Step 5: Solve for x
    x = 80,308.11/250.07
  6. Step 6: Final answer
    x = 321.15

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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.