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Finding the Fourth Proportional to 249.44, 344.30 and 166.50

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Solution

The fourth proportional to 249.44, 344.30 and 166.50 is: 229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.44 : 344.30 = 166.50 : x
  2. Step 2: Convert to fraction form
    249.44/344.30 = 166.50/x
  3. Step 3: Cross multiply
    249.44x = 344.30 × 166.50
  4. Step 4: Simplify right side
    249.44x = 57,325.12
  5. Step 5: Solve for x
    x = 57,325.12/249.44
  6. Step 6: Final answer
    x = 229.82

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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.