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Finding the Fourth Proportional to 251.38, 346.80 and 193.24

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Solution

The fourth proportional to 251.38, 346.80 and 193.24 is: 266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.38 : 346.80 = 193.24 : x
  2. Step 2: Convert to fraction form
    251.38/346.80 = 193.24/x
  3. Step 3: Cross multiply
    251.38x = 346.80 × 193.24
  4. Step 4: Simplify right side
    251.38x = 67,015.63
  5. Step 5: Solve for x
    x = 67,015.63/251.38
  6. Step 6: Final answer
    x = 266.59

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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.