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Finding the Fourth Proportional to 249.16, 343.62 and 161.95

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Solution

The fourth proportional to 249.16, 343.62 and 161.95 is: 223.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.16 : 343.62 = 161.95 : x
  2. Step 2: Convert to fraction form
    249.16/343.62 = 161.95/x
  3. Step 3: Cross multiply
    249.16x = 343.62 × 161.95
  4. Step 4: Simplify right side
    249.16x = 55,649.26
  5. Step 5: Solve for x
    x = 55,649.26/249.16
  6. Step 6: Final answer
    x = 223.35

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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.