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Finding the Fourth Proportional to 249.42, 344.13 and 162.12

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Solution

The fourth proportional to 249.42, 344.13 and 162.12 is: 223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.42 : 344.13 = 162.12 : x
  2. Step 2: Convert to fraction form
    249.42/344.13 = 162.12/x
  3. Step 3: Cross multiply
    249.42x = 344.13 × 162.12
  4. Step 4: Simplify right side
    249.42x = 55,790.36
  5. Step 5: Solve for x
    x = 55,790.36/249.42
  6. Step 6: Final answer
    x = 223.68

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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.