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Finding the Fourth Proportional to 249.50, 344.49 and 162.29

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Solution

The fourth proportional to 249.50, 344.49 and 162.29 is: 224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.50 : 344.49 = 162.29 : x
  2. Step 2: Convert to fraction form
    249.50/344.49 = 162.29/x
  3. Step 3: Cross multiply
    249.50x = 344.49 × 162.29
  4. Step 4: Simplify right side
    249.50x = 55,907.53
  5. Step 5: Solve for x
    x = 55,907.53/249.50
  6. Step 6: Final answer
    x = 224.08

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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.