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Finding the Fourth Proportional to 249.24, 343.58 and 161.76

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Solution

The fourth proportional to 249.24, 343.58 and 161.76 is: 222.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.24 : 343.58 = 161.76 : x
  2. Step 2: Convert to fraction form
    249.24/343.58 = 161.76/x
  3. Step 3: Cross multiply
    249.24x = 343.58 × 161.76
  4. Step 4: Simplify right side
    249.24x = 55,577.50
  5. Step 5: Solve for x
    x = 55,577.50/249.24
  6. Step 6: Final answer
    x = 222.99

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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.