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Finding the Fourth Proportional to 251.52, 346.82 and 173.76

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Solution

The fourth proportional to 251.52, 346.82 and 173.76 is: 239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.52 : 346.82 = 173.76 : x
  2. Step 2: Convert to fraction form
    251.52/346.82 = 173.76/x
  3. Step 3: Cross multiply
    251.52x = 346.82 × 173.76
  4. Step 4: Simplify right side
    251.52x = 60,263.44
  5. Step 5: Solve for x
    x = 60,263.44/251.52
  6. Step 6: Final answer
    x = 239.60

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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.