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Finding the Fourth Proportional to 194.98, 268.82 and 159.88

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Solution

The fourth proportional to 194.98, 268.82 and 159.88 is: 220.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.98 : 268.82 = 159.88 : x
  2. Step 2: Convert to fraction form
    194.98/268.82 = 159.88/x
  3. Step 3: Cross multiply
    194.98x = 268.82 × 159.88
  4. Step 4: Simplify right side
    194.98x = 42,978.94
  5. Step 5: Solve for x
    x = 42,978.94/194.98
  6. Step 6: Final answer
    x = 220.43

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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.