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Finding the Fourth Proportional to 503, 754.68 and 161

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Solution

The fourth proportional to 503, 754.68 and 161 is: 241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    503 : 754.68 = 161 : x
  2. Step 2: Convert to fraction form
    503/754.68 = 161/x
  3. Step 3: Cross multiply
    503x = 754.68 × 161
  4. Step 4: Simplify right side
    503x = 121,503.48
  5. Step 5: Solve for x
    x = 121,503.48/503
  6. Step 6: Final answer
    x = 241.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.