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Finding the Fourth Proportional to 251.89, 347.66 and 173.42

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Solution

The fourth proportional to 251.89, 347.66 and 173.42 is: 239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.89 : 347.66 = 173.42 : x
  2. Step 2: Convert to fraction form
    251.89/347.66 = 173.42/x
  3. Step 3: Cross multiply
    251.89x = 347.66 × 173.42
  4. Step 4: Simplify right side
    251.89x = 60,291.20
  5. Step 5: Solve for x
    x = 60,291.20/251.89
  6. Step 6: Final answer
    x = 239.36

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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.