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Finding the Fourth Proportional to 301.21, 414.32 and 251.39

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Solution

The fourth proportional to 301.21, 414.32 and 251.39 is: 345.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.21 : 414.32 = 251.39 : x
  2. Step 2: Convert to fraction form
    301.21/414.32 = 251.39/x
  3. Step 3: Cross multiply
    301.21x = 414.32 × 251.39
  4. Step 4: Simplify right side
    301.21x = 104,155.90
  5. Step 5: Solve for x
    x = 104,155.90/301.21
  6. Step 6: Final answer
    x = 345.79

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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.