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Finding the Fourth Proportional to 339.72, 469.25 and 251.37

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Solution

The fourth proportional to 339.72, 469.25 and 251.37 is: 347.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.72 : 469.25 = 251.37 : x
  2. Step 2: Convert to fraction form
    339.72/469.25 = 251.37/x
  3. Step 3: Cross multiply
    339.72x = 469.25 × 251.37
  4. Step 4: Simplify right side
    339.72x = 117,954.12
  5. Step 5: Solve for x
    x = 117,954.12/339.72
  6. Step 6: Final answer
    x = 347.21

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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.