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Finding the Fourth Proportional to 253.49, 380.00 and 161.24

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Solution

The fourth proportional to 253.49, 380.00 and 161.24 is: 241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.49 : 380.00 = 161.24 : x
  2. Step 2: Convert to fraction form
    253.49/380.00 = 161.24/x
  3. Step 3: Cross multiply
    253.49x = 380.00 × 161.24
  4. Step 4: Simplify right side
    253.49x = 61,269.70
  5. Step 5: Solve for x
    x = 61,269.70/253.49
  6. Step 6: Final answer
    x = 241.71

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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.