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Finding the Fourth Proportional to 249.45, 344.16 and 162.17

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Solution

The fourth proportional to 249.45, 344.16 and 162.17 is: 223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.45 : 344.16 = 162.17 : x
  2. Step 2: Convert to fraction form
    249.45/344.16 = 162.17/x
  3. Step 3: Cross multiply
    249.45x = 344.16 × 162.17
  4. Step 4: Simplify right side
    249.45x = 55,813.29
  5. Step 5: Solve for x
    x = 55,813.29/249.45
  6. Step 6: Final answer
    x = 223.75

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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.